# Express as a single sine or cosine function (note: this is using double angle formulas) g) 8sin^2x-4 I just don't get this one. I know it's got something to do with the 1-2sin^2x double angle formula. It's the opposite though?

52,734 results
1. ## Trig

Which trigonometric function can equal or be greater than 1.000? A Sine B Cosine C Tangent D none of the above

2. ## Math

3. At the end of a dock, high tide of 14 m is recorded at 9:00 a.m. Low tide of 6 m is recorded at 3:00 p.m. A sinusoidal function can model the water depth versus time. a) Construct a model for the water depth using a cosine function, where time is

3. ## trigonometry

An object is attached by a string to the end of a spring. When the weight is released it starts oscillating vertically in a periodic way that can be modeled by a trigonometric function. The object's average height is −20 cm (measured from the top of the

4. ## Trig

How do you express sin4x as a trigonometric funcition of x using the identities? I think that you are supposed to start with the sine sum identity and then use the double angle identities for sin2A and cos2A, but after that I get stuck...

5. ## Math

1) use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the angle. 67 degrees and 30' Please explain!! I do not know how to start.

6. ## math

Which statement is ALWAYS true? A) The sine of an angle is equal to the sine of the angle's complement. B) The cosine of an angle is equal to the sine of the angle's supplement. C) The sine of an angle is equal to the cosine of the angle's complement. D)

7. ## Math

Which angle between 90° and 270° has the same sine value as 10°? Which angle between −180° and 0° has the same cosine value as 200°

Determine the equation of a sine function that would have a range of {y| -4 ≤ y ≤ 1, y ε R} and a period of 45o. Determine the cosine function that results in the same graph as the function above. Deter

9. ## Chemistry

Consider the Lewis structure for the major resonance form of PCS–. (Note that carbon is the central atom.) The structure shows: a. A phosphorus-carbon triple bond and a carbon-sulfur single bond. b. A phosphorus-carbon double bond and a carbon-sulfur

10. ## Chemistry

What are the major organic products of this reaction: CH3CH2CH2COCH2CH3 (an O is double bonded to the C before the O) + H2O --> (acid is above the arrow) DrBob222- There are 2 oxygens. I said there is an O double bonded to the C. So there is the O after

11. ## Mathematics

A sine function has the following key features: Period = 4 Amplitude = 3 Midline: y=−1 y-intercept: (0, -1) The function is not a reflection of its parent function over the x-axis. Use the sine tool to graph the function. The first point must be on the

12. ## math

sin2x-cotx = -cotxcos2x Using the various trigonometric identities(i.e. double angle formulas, power reducing formulas, half angle formulas, quotient identities, etc.) verify the identity. I first added cotx to both sides to get sin2x = -cotxcos2x+cotx

13. ## Math

Can you find (a) a sine graph which touches the lines y = 3 and y = 1? (b) a cosine graph which crosses the x-axis at x = 1 and x = −1? (c) a tangent graph which passes through the point (π/3, 0) and for which the line x= π/2 is an asymptote? Part 2

14. ## Pre calc

Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the angle. 67° 30' 7 sin(67° 30')= cos(67° 30')= 4 tan(67° 30')=

15. ## Geometry

Right triangle FHG is shown *The sine of angle F is 0.53 What is the cosine of angle H? Round the answer to the nearest hundredth

16. ## precalculus

write each expression as the sine, cosine or tangent of a double angle. then find the exact value of the expression. a. 2sin 22.5 cos 22.5 b. cos^2 105- sin^2 105

17. ## Math III

For a particular angle theta, the cosine function f(x) = a cos b(theta) has the following values within one cycle of the function: f(0)=4;f(pi/4)=0;f(pi/2)=-4;f(3pi/4)=0;f(pi)=4. What is the rule for the cosine function? a. y=2cos4theta b. y=4cos2theta c.

18. ## Trig

a) Determine the equation of a sine function that would have a range of {y€R|-7

19. ## TRIG/ALGEBRA

1) Find the exact value. Use a sum or difference identity. tan (-15 degrees) 2) Rewrite the following expression as a trigonometric function of a single angle measure. cos 3x cos 4x - sin 3x sine 4x

20. ## Precalculus

How do you use the half angle formulas to determine the exact values of sine, cosine, and tangent of the angle 157 ∘ 30 ' ?

21. ## Pre-Cal: Word Problem

I'm having a lot of trouble on this word problem. Can someone help me plz? To define the inverse sine function, we restrict the domain of sine to the interval ______. On this interval the sine function is one-to-one, and its inverse function sin^−1 is

22. ## trigonometry

in triangle abc, angle c is a right angle, AC=8,Bc=15 and AB=17 a.find Sine a b.Find cosine A c.Find Sine B d. Find COsine B E. the measure of angel A f. the measure of angela b Can u tell me the answers and how to do it. Because im in 8th grade

23. ## Calculus

A cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 9, the vertical shift is 11 units down, and the period of the function is 12π/7. The graph of the function does not show a phase shift. What is the

24. ## Math

What angle in the first quadrant could you reference to help you find sine and cosine of each of the following angles ? 330 120 113 203

25. ## Physics

The drawing shows a plane diving towards the ground and then climbing back upward. During each of these motions, the lift force L acts perpendicular to the dispacement s, which has the same magnitude of 2.8 103 m in each case. The engines of the plane

26. ## Trig

Evaluate (if possible) the sine,cosine, and tangent of the angle 10pi/3

27. ## spring prob. help on part c

a 2 kg frictionless block is attached to an ideal spring with force constant 300N/m. At t=0, the spring is neither stretched or compressed and the block is moving in the negative direction at 12 m/s. find (a) amplitude, (B)phase angle (c) write an equation

28. ## Geometry

The word cosine literally means "the complement of the sine." Write a paragraph explaining how complements of sine and cosine are connected. I know that the sine and the cosine of complementary angles are the same. but how can i add more details/write a

29. ## Trig Functions

Which of the following lists contains only functions with vertical asymptotes in their graphs? A. Cosine, sine, tangent, cotangent B. Tangent, secant, cosecant, cotangent C. Sine, tangent, secant, cosecant D. Cosine, sine, secant, cosecant

30. ## Math

Find the exact value of the sine, cosine, and tangent of the angle 330 degrees. I know the tangent is -(square root 3)/3, but how?

31. ## Trigonometry

Hello, everyone: I am working on finding the exact values of angles that are less common and are therefor not found easily on the Unit Circle (at least, they are not labeled). For example, the problem I am asking about is: 10) Find the exact values of the

32. ## math

Two paper strips each 5 cm wide are laid across each other at an angle of 30 degrees. Determine the area of the overlapping area. I have no idea where to start with this question or how to go on. I know it has to do with cosine or sine law. But what do I

33. ## trig

A coil of wire rotating in a magnetic field induces a coltage E=20sin((PIa/4) - (PI/2)). Use an identity to express this in terms of cos(PIa/4). Types of Identities: Double Angle, Half Angle, Sum and Difference of Sine, Cosine, and Tangent, Pythagorean,

34. ## trig

The terminal side of an angle includes the point (5,-12). Give the sine, cosine, and tangent of the angle exactly. I know how to plot it and everything, but I'm not sure where to put theta so I know which angle to use for finding sine, cosine, and tangent.

35. ## Math-Trigonometry

Use the half-angle formulas to find the exact values. Cosine 165 degrees, Sine 157 degrees 30' and tan pi/8

36. ## Math sin/cos

On a piece of paper draw and label a right triangle using the given sides, solve for the unknown side and write the trigonometric functions for angles A and B, if a=5 and c=7. I already found side b which equals 2 sqrts of 6. Now I need to find the sin/cos

37. ## pre calc

The Identity Function The Squaring Function The Cubing Function The Reciprocal Function The Square Root Function The Exponential Functional Lo The Natural Logarithum Function The Sine Function The Cosine Function The Absolute Value Function The Greatest

38. ## Algebra II

Part 1: Using complete sentences, compare the key features and graphs of sine and cosine. What are their similarities and differences? Answer: The sine graph will always pass through (0, 0), While the cosine graph wouldn't. If the graph is 2cosx, it will

39. ## Pre Calculus 12

Another sine/cosine question i don't get in vancouver on certain day, high tide is 20m at 2am, the next low tide is 8m at 6am, what an equation that represents height (h)of water at any time (t)since midnight) what is the height of water at 8:45AM? What is

40. ## Precalculus

I've tried many times to get the equation to balance using trig identities like half-angle formulas, power-reducing formulas, and double angle formulas, but I couldn't get the equation to equal out. I only need to work one side to make it equal to the

41. ## Trigonometry

I had to find the sine, cosine and tangent of -150 degrees. I got - sq. root of 3/2, -1/2, and - sq. root of 3/3. But my book has -1/2 as the sine, and -sq. root of 3/3 as the cosine. Why is this? I thought that it was thirty degrees away from the axis, so

42. ## Algebra

Find the sine of an angle and the cosine of its complement. Do this for several angles. Make a conjecture.

43. ## Trigonometry

Can someone please explain this to me?? I'm really stuck on it. First of all, i don't know if I should use cosine or sine for the function because it only says to make a sinusoidal function that models the data, and a sinusoidal function could be either

44. ## Trigonometry

express in terms of sine and cosine. a) tan theta/ cot theta i know the answer is sin^2 theta / cos ^2 theta but how do you do it?

45. ## pre-calculus

Rewrite the following expression as an algebraic function of x sin(arccos(x/2)) I know sine is y, which is opposite over hypotenuse. I also know that arccos is the inverse of cosine. I'm confused on what the question is asking and what to do with the x.

46. ## math

building lot in a city is shaped as a 30° -60° -90° triangle. The side opposite the 30° angle measures 41 feet. a. what is the length of the side of the lot opposite the 60° angle b. what is the length of the hypotenuse of the triangular lot. c. what

47. ## Mathematics

A sine function has the following key features: Period = π Amplitude = 2 Midline: y= −2 y-intercept: (0, -2) The function is a reflection of its parent function over the x-axis. Use the sine tool to graph the function. The first point must be on the

48. ## Math 2nd question

Express as a single sine or cosine function (note: this is using double angle formulas) g) 8sin^2x-4 I just don't get this one. I know it's got something to do with the 1-2sin^2x double angle formula. It's the opposite though? :S h) 1-2sin^2 (π/4-x/2) =

49. ## Algebra2---

1. An artist is designing triangular mirrors. Determine the number of different triangles that she can form using the given measurements. Then solve the triangles. Round to the nearest tenth. a=4.2 cm b= 5.7 cm measure angle A= 39 degrees 2. What angle in

50. ## Algebra 2....

1. An artist is designing triangular mirrors. Determine the number of different triangles that she can form using the given measurements. Then solve the triangles. Round to the nearest tenth. a=4.2 cm b= 5.7 cm measure angle A= 39 degrees 2. What angle in

51. ## Algebra 2 ..

1. An artist is designing triangular mirrors. Determine the number of different triangles that she can form using the given measurements. Then solve the triangles. Round to the nearest tenth. a=4.2 cm b= 5.7 cm measure angle A= 39 degrees 2. What angle in

52. ## MATH

1.)Find the exact solution algebriacally, if possible: (PLEASE SHOW ALL STEPS) sin 2x - sin x = 0 2.) GIVEN: sin u = 3/5, 0 < u < ï/2 Find the exact values of: sin 2u, cos 2u and tan 2u using the double-angle formulas. 3.)Use the half-angle formulas to

53. ## Pre-Cal

1) Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the angle. 67 degrees 30'

1) Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the angle. 67 degrees 30'

55. ## Pre-Cal

1) use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the angle. 67 degrees and 30' Please explain!! I do not know how to start.

56. ## Graphing trigonometric function

sine and cosine have a period 2pi tangent and cotangent have period pi Can someone explain why? thanks a lot. well tangent is sine/cosine and there a place where the tangent function is undefined and that is where the asymptotes occur. the same is true

57. ## math

use the unit circle to determine the exact value of each angle: sine 30 degrees, cosine pi, sine 11 pi divided by 6, and cosine 135 degrees.

58. ## PreCalc

Hi, I'm needing help on how to find the vertical shift, horizontal shift, amplitude, period, domain, and range; As well as the sine and cosine function based off of 12 data points (Which i'll provide below) Can someone please walk me through the steps on

59. ## trig

Write the expression as the sine, cosine, or tangent of a double angle. Then find the exact value of the expression. 2tan 2pi/3 / 1-tan^2 2pu/3

60. ## Maths

Please I need help.Iam stuck with this question.Using sine and cosine rule: A rocket launced vertically from L is observed from A. Soon after launch when at position M its angle of elevation is 25 degree. After it climbs 4000m from this position to N its

61. ## trig

Suggest a cosine function that will "imitate" the sine function by manipulating ONE of a,b,c or d. Thank you

62. ## trig

Suggest a sine function that will "imitate" the cosine function by manipulating ONE of a,b,c or d. Thank you

63. ## trig

2sinxcosx+4sin^2xcos^2x=0 solve for x in radians between [0,2pi) (I mean that it is sine squared x and cosine squared x not sine to the power of 2x or cosine to the power of 2x)

64. ## trig

solve for the value of sine and cosine function of 60 degrees.

65. ## trig

solve for the value of sine and cosine function of 60 degrees.

66. ## maths

Sine and Cosine rule are both used in solving trigonometry problems.Give an example of when the cosine rule is more appliciable than the sine rule?

67. ## trigonometry

If sine of an angle is ¼ and cosine of an angle is 15/4.. find cosecant.

68. ## Visual Basic

how to use formula b=p (1+r)^n, to calculate annual interests for a savings account in visual basic project This is my code so far>>>>>>>>>>>>>> Option Explicit On Option Strict On Option Infer Off Public Class MainForm Private Function FV(ByVal p As

69. ## trig

how to solve for the value of sine and cosine function of 0,90,180 and 270 degrees?

70. ## trig help

I need help finding sinA if cosA=(-3/5) and A is greater than 90 degrees, but less than 180 degrees. Draw the quadrant diagram. In the upper left quadrant, greater then ninety degrees, but less than 180, cosine is neg, and sine is positive. Draw a three,

71. ## Precalc(attn Bobpursley)

Hi i posted this before but I wanted to ask Bobpursley a few questions on his reply 1)For the first function you used cosine when they ask for sin, why is that? Also why did you put .5 in the beginning and end of the function? 2)For the second question why

72. ## math - trig

Given the coordinates of the terminal side of an angle in standard position, find the value of sine, cosine, and tangent: (-4,0)

73. ## math

Write the following expression as the sine, cosine, or tangent of an angle: cos45°cos120° - sin45°sin120°

74. ## calculus

the equation y+y"=0 is the differential equation of? a.)sine function b.)sinusoidal c.)cosine function d.) a and c e.) abc

75. ## Trigonometry

IM STUCK ON THESE :( 1. What is the equation for shifting the standard sine curve +2 units horizontally? A. y = sin (x + 2) B. y = sin x + 2 C. y = sin x − 2 D. y = sin (x − 2) 3. What is tan-¹ √3/3 ? A. π/4 B. -π/3 C. π/6 D. -π/4 4. cot–1

76. ## Trigonometry

IM STUCK ON THESE :( 1. What is the equation for shifting the standard sine curve +2 units horizontally? A. y = sin (x + 2) B. y = sin x + 2 C. y = sin x − 2 D. y = sin (x − 2) 3. What is tan-¹ √3/3 ? A. π/4 B. -π/3 C. π/6 D. -π/4 4. cot–1

77. ## Algebra

Suppose a triangle has angles A,B, and C. Angle C is the right angle. Find the measures of the other sides to the nearest whole number. < means angle symbol. 1.BC=9,m

78. ## pre calculus

Double Angle Formula. If the double angle formula for cos2(u) = 2cos^2(u)-1, then write the double angle formula for cos2(u) in terms of sine.

79. ## Math

I recently inquired how to solve a right triangle. I was referred to the Laws o Sine & Cosine quite rightly. I have subsequently found a converter on the net which takes all the headache out of arriving at the correct answers. The thing is I still do not

80. ## Calculus

An airplane flies at an altitude of 5 miles toward a point directly over an observer. The speed of the plane is 600 mi/hr. Find the rate at which the angle of elevation is changing when the angle is 30 degrees. I found the answer to be 60 radians/hr by

Given b=10, angle B=48 degrees, angle C=58 degrees, find c Do I use the law of sine or cosine?

82. ## precalc

1. Write an equation of the following using the particular function. 1. The function is sine. The amp is 2 and the domain is [0, 2]. I got y=2sin(pie(x)) but i plugged that in my calc and it doesnt look like the graph on my worksheet 2. The function is

83. ## Trig/Math

To find an angle where you have the opposite and adjacent which formula do you use? Sine, Cosine, Tan? and how do you find the inverse?

84. ## math

A diagonal is drawn in a 12-in. square floor tile. Find the sine, cosine, and tangent of the angle formed by the diagonal and a side.

85. ## trig

Reduce the following to the sine or cosine of one angle: (i) sin145*cos75 - cos145*sin75 (ii) cos35*cos15 - sin35*sin15 Use the formulae: sin(a+b)= sin(a) cos(b) + cos(a)sin(b) and cos(a+b)= cos(a)cos(b) - sin(a)sin)(b) (1)The quantity = sin(145-75) = sin

86. ## math

Can anyone help w/ these. 1) Solve the equation in the internal [0deg, 360deg]. a) sin 2x = -sin x b) sin 2T = -1/2 (where T is angle) c) 4 sin^2T = 3 2) Evaluate the expression. sin(arctan 2) 3) Rewrite the following w/o using trigonometric or inverse

87. ## Math

The displacement, y of a mass attached to a spring is modeled by this equation in cosine, where t is the time in seconds. Which expression represents the displacement using only the sine function? y(t) = 9.6cos(2pi/6(t) - pi/2)

88. ## trigonometric functions

im compeletely lost with the trigonometric functions...can anyone explain clearly to me? Are you lost on the definitions?...where is the problem. You need to be able to draw and label all the parts of a triangle, the hypotenuse and legs. Then be able to

89. ## Pre-Calculus

Solve the triangle. Round to the nearest tenth. B=54deg a=42 c=6.5 1. I found length of b using law of cosine and got 36.2 2. Using side of b, I used the law of sine to get angle A = 28.2 3. I added B+A and subtracted from 180 to get angle C = 127.8 which

90. ## algebra

Hi can I get help with these two questions. 1. Everytime the pedals go through 360 degree rotation, the tires roate three imes. if the tires are 24 nches in diameter, what is the minimum numbe of comlete rotions of the pedls needed forr the bicycle to

91. ## Math

calculus help needed example: sin-1(-1/2) how do you figure this out? The sin^-1 means the arcSin, or the angle whose sine is ... so sin^-1(1/2) is the angle whose sine is -.5, which is -30 degrees. In your calculator, put in -.5, then press INV sin. so as

Use the Pythagorean Identify to show that the double angle formula for cosine can be written as: cos2x = 2cos^2x - 1

93. ## Math

What are the double angle formulas for csc and sec?

94. ## college math

Express (cos^2t/tan^2t) as an expression that involves only the sine function.

95. ## Trigonometry

Evaluate the sine, cosine and tangent of -7pi/3. I got 1/2, sq. root of 3/2 and sq. root of three. My book says the sine and the tangent are negative, but I don't know why? Can you explain the rule??

96. ## math

Construct the equations of the following trigonometric functions: A)A sine function with amplitude 2, period , phase shift /3 right B)A tangent function with a reflection in the y-axis, period ¾, translation up 5 units C)A cosine function with period

97. ## trig

Construct the equations of the following trigonometric functions: A)A sine function with amplitude 2, period , phase shift /3 right B)A tangent function with a reflection in the y-axis, period ¾, translation up 5 units C)A cosine function with period

98. ## Math

While evaluating the sine of a particular angle, an absent minded student failed to notice that his calculator was not in the correct angular mode. He was very lucky to end up with the right answer. What are the two smallest possible values of x such that

99. ## Mathematics

A sine function has the following key features: Frequency = 1/4π Amplitude = 2 Midline: y = 2 y-intercept: (0, 2) The function is not a reflection of its parent function over the x-axis. Use the sine tool to graph the function. The first point must be on

100. ## Trigonometry

Cos D= -3/4. if the sine of the angle is positive, find the sine of the angle and determine the quadrant. Can anyone tell me the steps. I need to learn this.