If tan theta=3/4 then find the value ofcos^2 theta - sin ^2 theta

101,260 results
1. Math

1. Let (-7, 4) be a point on the terminal side of (theta). Find the exact values of sin(theta), csc(theta), and cot(theta). 2. Let (theta) be an angle in quadrant IV such that sin(theta)=-2/5. Find the exact values of sec(theta) and tan(theta). 3. Let

2. math

Let theta be an angle in quadrant IV such that sin(theta)=-(2)/(5). Find the exact values of sec(theta) and tan(theta).

3. trig

If sin theta is equal to 5/13 and theta is an angle in quadrant II find the value of cos theta, sec theta, tan theta, csc theta, cot theta.

1.) Find an expression equivalent to sec theta sin theta cot theta csc theta. tan theta csc theta sec theta ~ sin theta 2.) Find an expression equivalent to cos theta/sin theta . tan theta cot theta ~ sec theta csc theta 3.) Simplify (tan^2 theta +

5. trig

If sin theta = 2/7 and theta is in quadrant 2 find cos theta, sec theta, csc theta, tan theta, and cot theta

6. math (trig)

if cos 2 theta = -(1/3) and theta is in Quadrant 2, find sin theta, cos theta, tan theta, and draw triangle theta

7. Math

Which of the following functions have a vertical asymptote for values of theta such that cos theta = 1? Select two answers. y = sin theta y = cos theta y = tan theta y = sec theta y = csc theta y = cot theta I know what all these functions look like, but I

8. Precalculus

Which of the following are trigonometric identities? Select all that apply (there are 3 answers). A cos^2(theta)=sin^2(theta)-1 B sin(theta)=1/csc(theta) C sec(theta)=1/cot(theta) D cot(theta)=cos/sin(theta) E 1+cot^2(theta)=csc^2(theta)

9. Pre Calculus

Find an expression equivalent to sec theta tan theta/ sin theta.

10. Precalculus

Circle O below has radius 1. Eight segment lengths are labeled with lowercase letters. Six of these equal a trigonometric function of theta. Your answer to this problem should be a six letter sequence whose letters represent the segment lengths that equal

11. math

tan theta= 15/8 and pi< theta

12. Trig

The point (-5/12) is on the terminal side of an angle theta in standard position. Find Sin theta, cos theta and tan theta Thank You!

13. Calc

Calculate the exact values of sin(theta) cos(theta) and tan (theta) when theta=240 degrees. How would I do this with and without a calculator?

14. Pre-Calculus

Which is the polar form of the parametric equations x=5cos(theta) and y=5sin(theta) ? a. r= 5(theta) b. r= 5 c. r= 25 cos (theta) sin (theta)***** d. r= 25cos^2 (theta) + 25sin^2 (theta) Which is the polar form of the parametric equations x=4t and y=t^2?

15. trigonometry26

If 1+sin^2 theta = 3sin theta cos theta, then prove that tan theta =1or 1/2

16. Calculus

Which is the correct cofunction identity for (tan theta?) A csc(90degrees - theta) B sec (90degrees - theta) C sin (90degrees - theta) D cos (90degrees - theta) E cot (90degrees - theta)

17. mathematics maclaurin series

By considering standard series of sin theta and cos theta, show that tan theta is approx = theta when theta is small such that theta^3 and higher powers of theta are negligible.

18. trig

Find csc(theta), tan (theta), and cos (theta), where theta is the angle shown in the figure. Give exact values, not decimal approximations c=10 b=7 a=7.14 the right angle is locate between sides a and b and the theta angle is an acutle angle sides b and c.

19. precalc h

sin(theta)/1-cos(theta) + 1-cos(theta)/sin(theta) = 2csc(theta) That question makes absolutely no sense.. could someone help me? or lead me in the direction to figuring it out? and.. (Beside the trig functions is theta) 1+1/cos = tan^2/sec-1

20. Fluid Mechanics - The Complex Velocity potential f

Note : Let us combine a source of strength m at the origin with a uniform flow of velocity 𝑢 parallel to the positive x-axis. Then the complex velocity potential(w = -[velocity potential(pi)] - stream function(A)*i) is; 𝑤 = −(𝑢𝑧) −

21. Trig

1. Establish the identity: sin(theta+3pi/2)=-cos(theta) 2. Find the exact value of 2(theta) if sin(theta)=5/13 3. Show that: csc2(theta)-cot2(theta)=tan(theta) 4. Find the exact value of tan(cos^-1(square root of 3/2) 5. Approximate the value rounded to

22. trigonometry

can you correct the rest for me please? Express each as a function of theta: a. sin (270deg + theta)= cos theta b. cos (pi + theta)= -cos theta c. tan (810 + theta)= ????? d. sin (theta - 180)= -sin theta

23. Trigonometric Functions

Determine the Value of all six trigonometric functions of theta when given? I need help. This is for my midterm review, if anyone is willing to help, I'd appreciate it. a) sin theta= 3/5 and theta is in quadrant 1. b) tan theta= -2 and theta is in quadrant

24. Algebra II

Multiple Choice (theta) means the symbol 0 with the dash in it. 1.)Which expression is equivalent to tan(theta)-(sec(theta))/(sin(theta))? A.)-cot(theta) B.)cot(theta) C.)tan(theta)-cot(theta) D.)tan(theta)-sec^2(theta) 2.)Find the exact value of:cos 375

PLEASE HELP!! csc(theta)= -3/2 3pi/2 < theta < 2pi Find: sin(theta)= _____ ? cos(theta)= _____ ? tan(theta)= _____ ? cot(theta)= _____ ? sec(theta)= _____ ?

26. precalc pre ap

If theta is a rotation angle that terminates in quadrant ll and sin of theta is 5/13, find cos of theta and tan of theta. Use the first Pythagorean identity to solve for cos of theta and use quotient identity to solve for tan of theta.

27. Math:)

Which trigonometric functions are equivalent to tan(theta)? Select all that apply. (2 answers) a. -tan(-theta)**** b. -tan(theta) c. tan(-theta) d. tan(theta+2pi)**** e. tan(theta+pi/2)

28. Trig

Which expression equivalent to: cos(theta + pi/2). A)cos theta B)-cos theta C)sin theta D)-sin theta my book doesnt give examples of this but my crack at it would be C b/c distributive property? and 2cos theta = sin theta

29. Physics

I calculated tan and sin (theta) for a physics lab experiment -- two-slit interference I had to use this equation y = L tan (theta), with y = 0.25 and L = 2 and tan (theta) came out to be 7.12 in degrees and 0.1243 in radians. I found sin (theta) by using

30. trig

in proving trigonometric identities if sec theta - tan theta sin theta is equal to cos theta. what is the correct answer?

31. math

Find the exact values of sin 2theta, cos 2 theta and tan 2 theta when cot theta = 4/3

32. Trig

If tan theta = a/b, where a and b are positive, and if theta lies in quadrant III, find sin theta

cot(theta)= 3 pi < theta < 3pi/2 Find: sin(theta)= -1 ? cos(theta)= -3 ? tan(theta)= 1/3 ? sec(theta)= -1/3 ? csc(theta)= -1 ? That's what I came up with, but they are not correct, PLEASE help me where I went wrong!!

34. math;)

Julia wants to simplify the term sec^2 theta-1/cot^2 theta+1 in a trigonometric identity that she is proving. Which of the following identities should use to help her? Select all that apply. (2 ANSWERS) a. sin^2 theta+cos^2 theta=1 b. sec^2 theta-tan^2

35. Math Trig Help

sin theta = x/3, with theta in the first quadrant, find the expression for cos theta and tan theta. Answers will be in algebraic terms of x. Give exact answers with 0 < theta

36. trig

If sin 2 theta = (2/5) in Quadrant 2, find sin theta, cos theta, tan theta, and draw triangle theta.

37. trigonometry

I need help in understanding how to identify which identity to use. using this question as an example. Show that tan theta (sin theta+cot theta cos theata)all over cos theta = sec^2 theta. Please explain.

38. trig

If tan theta = sin theta, and theta is greater than or equal to 0 and less than or equal to 2 pi. find cos theta and what is theta

39. math

Prove the identity cos theta - sin theta / cos theta + sin theta = sec 2 theta - tan 2 theta.

40. Calculus 2

Write in cartesian form: r=3tan(theta)sec(theta) im working with this function here, trying to get an rcos(theta) and/or rsin(theta) so far, i am stumped. what i have so far: r^2=3r(tan(theta)sec(theta)) (x^2+y^2)=?????

41. Trigonometry

Thank you STEVE!!!!! Suppose that Cos (theta) = 1/square root 2 if 0

42. science

Sitting on a horizontal track is a mass of 10kg. One end of the track is raised untill the mass just begins to slip. If the coeffieient of static friction is .4 what is the minimum angle at which the mass begins to slip? mgSinTheta = mg*mu*CosTheta

43. Trigonometry

Prove the following identities: 1. (tan theta - sin theta)^2 + (1-cos theta)^2 = (1-sec theta) ^2 2. (1-2cos^2 theta) / sin theta cos theta = tan theta - cot theta 3. (sin theta + cos theta ) ^2 + (sin theta - cos theta ) ^2 = 2 Thank you so much! :)

44. Math

angle theta is in the standard position and 0'=

45. trigonomtry

can you correct the rest for me please? Express each as a function of theta: a. sin (270deg + theta)= cos theta b. cos (pi + theta)= -cos theta c. tan (810 + theta)= ????? d. sin (theta - 180)= -sin theta

46. Trigonometry

I don't understand how I'm supposed set the problem up or what theta is... Use the given function value(s), and trigonometric identities (including the cofunction identities), to find the indicated trigonometric functions. sec theta = 5, tan theta 2 *

47. Pre-Calculus

1.) Which of the following polar equations is equivalent to the parametric equations below? x=t^2 y=2t A.) r=4cot(theta)csc(theta) B.) r=4tan(theta)sec(theta) C.) r=tan(theta)sec(theta)/4 D.) r=16cot(theta)csc(theta) 2.) Which polar equation is equivalent

48. trig

Hi there! I NEED SERIOUS HELP, PLEASE!!! i have such a hard time with verifying identities! The question is: [(sin(theta/2)) / csc(theta/2)] + [(cos (theta/2) / sec(theta/2)] = 1 I have a few ideas on how to solve this, but am mainly not sure how to get

49. math;)

What is a simplified form of the expression (sec^3 theta) - (sec theta/cot^2 theta)? a. 0 b. sec theta-tan theta c. cos theta d. sec theta***** Every time I attempt to work out this problem I end up with one. I know the answer is sec theta, but I do not

50. MATHS TRIGONOMETRY

if 3sin theta =2 and cos greater than 0,with the aid of a diagram determine the value of: a) tan theta b) sin theta/cos theta c) sin^2 theta + cos^2 theta

51. math

Another: theta is a second quadrant angle in standard position and tan theta = - (sqrt5)/(2) . Find the exact value of cos theta. I assume I use the equation 1 / cos(theta)^2 = 1 + tan (theta)^2 However how does this work out algebraically?

52. math

knowing that 2(theta) can be written as theta + theta, find the expression for sin2(theta) and cos2(theta). Is it 2sin(theta)cos(theta)?

53. Mathamatics

Solve the following trigonometry identities. a) 1-cos2(theta) = sin(theta)cos(theta)/cot(theta) b) (1-cos2(theta))(1-tan2(theta))=sin2(theta)-2sin4(theta)/1-sin2(theta) *its supposed to be cos to the power of two, sin to the power of four, etc. There is

54. Differential Equations

How do we solve the following differential equation? dr/[ (m/(r^2)) + vcos(theta) ] = r*d(theta)/(-vsin(theta) The answer is given as vr^2*sin^2(theta) - 2mcos(theta) = k , k is a constant But I'm really confused how to do this one, since there are several

55. HS Calculus

1) Limit theta approaching zero sin squared theta/ tan theta 2) Lim x appraoches zero x + sin x/x x + sin x/x = x/x + sinx/x 0 + 1 =1 My answer : 1 Is this correct

56. HS Calculus

1) Limit theta approaching zero sin squared theta/ tan theta 2) Lim x appraoches zero x + sin x/x x + sin x/x = x/x + sinx/x 0 + 1 =1 My answer : 1 Is this correct

57. Maths

Find the value of theta: -810Cos(theta) + 135 + 2430 Sin(theta)Cos(theta) = 0 Can someone please show me how to simplify it to find the value of theta? Thanks!

58. Maths- complex numbers

Find tan(3 theta) in terms of tan theta Use the formula tan (a + b) = (tan a + tan b)/[1 - tan a tan b) in two steps. First, let a = b = theta and get a formula for tan (2 theta). tan (2 theta) = 2 tan theta/[(1 - tan theta)^2] Then write down the equation

59. Calculus

I wanted to confirm that I solved these problems correctly (we had to convert the polar curves to Cartesian equations). 1.rcos(theta)=1 x=1 2.r=2*sin(theta)+2*cos(theta) r^2=2rsin(theta)+2rcos(theta) x^2+y^2=2y+2x (a little unsure what do next if this is

60. Maths

If tan theta=3/4 then find the value ofcos^2 theta - sin ^2 theta

61. trig

h t t p : / / i m g 4 0 . i m a g e s h a c k . u s / c o n t e n t . p h p ? p a g e = d o n e& l = i m g 4 0 / 1 4 8 / a s d a s d y e . j p g & v i a = m u p l o a d (def of tan theta = a^-1 o)a = o opposite = adjacent tan theta written with respect to

62. Algebra II

Multiple Choice Which expression is NOT equivalent to 1? (theta) means 0 with dash in it. A.)sin^2 (theta)+cot^2 (theta) sin^2 (theta) B.)(sin^(theta))/(1-cos(theta))-cos(theta) C,)sec^2 (theta)+ tan^2 (theta) D.)(cot^2(theta) sin^2 (theta))/(cos^2(theta))

1.) Find an expression equivalent to sec theta sin theta cot theta csc theta. tan theta csc theta sec theta ~ sin theta 2.) Find an expression equivalent to cos theta/sin theta . tan theta cot theta ~ sec theta csc theta 3.) Simplify (tan^2 theta +

64. math

I have a question I have been working on since yesterday and I am not making this up. I couldn't get the right answer. If sin theta = -2/3, which of the following are possible? A: cos theta= -the sqr rt of 5/3 and tan theta =2/3. B: sec theta = 3/the sqr

65. Trigonometry

Prove the following identities: 1. (tan theta - sin theta)^2 + (1-cos theta)^2 = (1-sec theta) ^2 2. (1-2cos^2 theta) / sin theta cos theta = tan theta - cot theta 3. (sin theta + cos theta ) ^2 + (sin theta - cos theta ) ^2 = 2 Thank you so much! :)

66. Calculus

If cos of theta= -7/12 and theta is in quadrant 2 then find a. tan(theta) cot (theta)= b. csc(theta) tan(theta)= c. sin^2(theta)+ cos^2(theta)=

67. trigonometry

can you correct the rest for me please? Express each as a function of theta: a. sin (270deg + theta)= cos theta b. cos (pi + theta)= -cos theta c. tan (810 + theta)= ????? d. sin (theta - 180)= -sin theta

68. Calculus

Below are the 5 problems which I had trouble in. I can't seem to get the answer in the back of the book. Thanks for the help! lim (theta-pi/2)sec(theta) theta->pi/2 Answer: -1 I am not sure what to do here. lim (tan(theta))^(theta) theta->0+ Answer:1

69. Algebra II

Which of the following expressions are not equal to 1? A) sin^2 theta + cot^2 theta sin^2 theta B) (sin^2 theta/1-cos theta)-cos theta C) sec^2 theta + tan^2 theta D) cot^2 theta sin^2 theta/cos^2theta Answer: D

70. Trig

Find the exact values of sin 2 theta, cos 2 theta and tan 2thea using the double angle formula sin theta = 3/4 , pi/2 < theta < pi

71. easy trig

If sin(theta)=[sqrt(70)]/7 and theta is in Quadrant two, find the exact numerical value of tan theta without using a calculator. I got tan(theta)=[sqrt(294)]/42 Is that right? if sin(theta)=-a where 0

72. simple trig

If sin(theta)=[sqrt(70)]/7 and theta is in Quadrant two, find the exact numerical value of tan theta without using a calculator. I got tan(theta)=[sqrt(294)]/42 Is that right? if sin(theta)=-a where 0

73. Trigonometry

The question was: "Given that sin theta is -1/2 and theta is in quadrant IV, find the cos and tan of theta." I found 1/2 for cosine and -1 for theta, but the answer sheet said I was incorrect. I am almost positive I did this correctly... can someone double

74. trig

the terminal side of angle theta in standard position lies on the line that travels through point (9,1), find sin of theta, cos of theta, tan of theta. (give exact values)

PLEASE HELP!! sin(theta)= 1/3 pi/2 < theta < pi Find: cos(theta)= ______ ? tan(theta)= ______ ? cot(theta)= ______ ? sec(theta)= ______ ? csc(theta)= ______ ?

76. I dont think drawing a picture will help me drwls

Which expression is equivalent to tan theta-sec theta/sin theta? A)-cot theta B)cot theta C)tan theta-cot theta D)tan theta-sec^2theta just tell me what I need to know to set it up

77. Physics

What point on the x-y plane does theta = 0 describe? I tried doing: tan(theta) = y/x tan(0rad) = y/x 0 = y/x So y is definitely 0. y = rsin(theta) r = y/sin(theta) = 0/sin(0rad) = 0/0 ... I highly doubt that this problem was meant for having to do

78. 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?

79. Trig Identities

Please help...I'm not understanding trig identities and how to manipulate and express these two problems in their associated functions. Thanks a)Express as a function of cos (theta) 2 sin^2(theta) - 1 b)Express as a function of sin (theta) or cos (theta)

80. Calculus

Which one or ones of the following integrals produces the area that lies inside the circle r = 3 sin θ and outside the cardioid r = 1 + sin θ? (10 points) I. 1/2 the integral from pi/6 to 5pi/6 of 9*sin^2 theta minus (1 + sin theta)^2 d theta II. the

81. MATH

prove tan (theta/2)= (sin(theta))/(1+cos(theta))for theta in quadrant 1 by providing the calculation along with the reason. I appreciate the help.

82. Algebra

Verify the identity. Justify each step. tan (thetA) + cot (thetA) = 1 / sin (thetA) cos (thetA)

83. Optimization

min 2x+y subject to: x+y+z=1 and y^2+z^2=4 Any help would greatly be apprecaited. y^2+z^2=4 ---> put y = 2 cos(theta) and z = 2 sin(theta) x+y+z=1 ----> x = 1-2(cos(theta) + sin(theta)) 2x + y = 2 - 2 cos(theta) - 4 sin(theta) It's not difficult to find

84. Trigonometry

[Sin^2(theta) - tan(theta) ] / [cos^2(theta) - cot(theta)] = tan^2(theta) I am supposed to prove that the left side of the equation is supposed to be equal to the right side. And I been confused on how to solve it.

85. trig

Write each identity expression in terms of:1. cos theta= a. sin^2theta ---------- sec^2theta-1 2. tan theta= a. sec theta over sin theta minus sec theta over cosecant theta.

86. calculus

given 7sin^2 theta + cos theta sin theta = 6 show that tan^2 theta + tan theta - 6 = 0

87. math

Hi ! Here is my question: The pythagorean theorem gives the relationships between the sides of a right triangle. The following identities show the relationships between the trigonometric functions of a particular angle. sin^2(theta) + cos^2(theta) = 1

88. Trigonometry

If cot 2(Theta) = 5/12 with 0 (less than or equal to) 2(Theta) (Less than or equal to) Pi, find the cos(Theta), sin(Theta), and tan(Theta).

89. Precalculus

Find two values for theta such that theta is greater than or equal to 0 but less than or equal to 2pi. 1. Tan theta=1.1071 2. Sin theta = -0.8818

90. Precalculus

Find two values for theta such that theta is greater than or equal to 0 but less than or equal to 2pi. 1. Tan theta=1.1071 2. Sin theta = -0.8818

91. Math- Trig

1. Determine the exact value of cos^-1 (pi/2). Give number and explanaton. 2. Determine the exact value of tan^-1(sq. root 3). with explanation. 3. Determine exact value of cos(cos^-1(19 pi)). with explanation. 4. Determine the exact value of sin(sin^-1(20

92. Calculous

Evaluate sin(theta) and cosine (theta) for the angle theta The graph gives you a point of (0.6,-0.8) on the x y coordinate plane with a radius of what appears to be 1 ( unit circle ) sin (theta) = cos (theta) =

93. trig

Which expression is equivalent to tan theta - sec theta/sin theta? A)-cot theta B)cot theta C)tan theta-cot theta D)tan theta-sec^2theta

94. Trigonometry

Prove sin theta ( sec theta+ csc theta)= tan theta+1

95. trigonometry

Given Cos (theta)= 0.5, find Sin (theta) and tan (theta), correct to 2 decimal places.

96. math

if sin theta equals 3/5 and theta is second quadrant angle find tan 2 theta.my ans. was 3.442 but is wrong can you correct and show work please. thank you so much.

97. Futher maths

Tan theta +2sec theta=2 cot theta+3cosec theta=a Find theta

98. Pre Calculus

Find an expression equivalent to sec theta tan theta/ sin theta.

99. Precalculus 2

Similiarly to a question I asked previously I took the same approach. the problem is: what value(s) of theta solve the following equation? cos(theta)sin(theta) - 2 cos(theta) = 0? I let Cos theta = X and sin theta = X unfortunately I end up with something

100. trig

express 20sin theta + 4 cos theta as R sin(theta + alpha) R sin(theta + alpha) = R cos(alpha)sin(theta) + R sin(alpha)cos(theta) ----> Rcos(alpha) = 20 Rsin(alpha) = 4 The x-y coordinates of a point on a circle of radius R that makes an angle og alpha with