# Trigonometry

**Trig**

What are the focus and directrix of the parabola represented by the equation:8(y-6)=(x+2)squared?

**Trig**

From a point A, 30 meters from the base of a building B, the angle of elevationto the top of the building C is 56 degrees. The angle of elevation to the top of flagpole D on top of the building is 60 degrees. Find the length of flagpole CD

**Trig**

Find the exact value of the trigonometric function given that sin u=3/5 and cos v=-8/17. Both u and v are in quadrant II. Tan (u+v)

**Trig**

find the angle between u=7i+2j and v=-4j

**trig help**

simplify cosec40(sin40+sin80+cos120) help step

**trig help**

simplify cosec40(sin40+sin80+cos120) help step

**trig**

A communication tower is 34m tall. Jane stands somewhere in front of the tower to the right and measures the angle of elevation to be 70 degrees. Bill stands somewhere in front of the tower to the left and measures the angle of elevation to be 50 degrees. How far apart are ...

**Trig**

find all solutions of 2sinx=1-2cosx in the interval from 0 to 360

**Pre-Calc/ Trig**

Find the sum of the three smallest positive values of theta such that 4(cos^2)(2theta-pi) =3. (Give your answer in radians.) LaTEX: Find the sum of the three smallest positive values of $\theta$ such that $4\cos^2(2\theta-\pi) =3$. (Give your answer in radians.)

**Physics algebra and trig**

A pair of fuzzy dice is hanging from the rearview mirror of a race car. As the car accelerates smoothly, the strings of the dice are tilted slightly toward the rear of the car. From the perspective of the driver, which one of the following statements is true, if the dice are ...

**Trig**

Write 3theta - sin 4theta as a product.

**Trig**

Use the half-angle formula to simplify (sin4theta)/(1+cos4theta)

**math trig**

how do you solve arcsin(3/5) without a calculator?

**Trig**

If angle A is 45 degrees and angle B is 60 degrees. Find sin(A)cos(B), find cos(A)sin(B), find sin(A)sin(B), and find cos(A)cos(B) The choises for the first are: A. 1/2[sin(105)+sin(345)] B. 1/2[sin(105)-sin(345)] C. 1/2[sin(345)+cos(105)] D. 1/2[sin(345)-cos(105)] You don't ...

**Trig**

Given tan(A) = 2 and A is in Quadrant I, find tan(2A). A. -1/3 B. 2/3 C. -4/3 D. -2/3

**Trig**

Given tan(A) = 2 and A is in Quadrant I, find cos(2A). A. 0 B. 1 C. 1/2 D. -3/5

**Trig**

Just confused. Given tan(A) = 2 and A is in Quadrant I, find sin(2A). A. 0 B. 1 C. 1/2 D. 4/5

**Trig**

Given Tan(A) = 5 in Quadrant III and Sin(B) = ⅔ in Quadrant II, what is the Quadrant of A-B?

**Trig**

Given Tan(A) = 5 in Quadrant III and Sin(B) = ⅔ in Quadrant II, find Cos(A-B).

**Trig**

Given Tan(A) = 5 in Quadrant III and Sin(B) = ⅔ in Quadrant II, find Sin(A-B).

**Math (Trig Review)**

Evaluate the expression without using a calculator (Make a sketch of a right triangle) tan(arccot 2) Thanks in advance! I'm trying to refresh my memory of these kinds of problems and I'm having trouble on how to solve this problem

**Trig**

Cosine theta=8/17 and 270 degrees is < theta, and theta is< 360

**math trig**

A Ferris wheel with a diameter of 37 meters rotates at a rate of 4 minutes per revolution. Riders board the Ferris wheel 4 meters above the ground at the bottom of the wheel. A couple boards the Ferris wheel and the ride starts. Write a formula for the height of the couple t ...

**maths trig need help**

show that sinx/(1-cotx)+cosx/(1-sinx)=sinx+cosx thanks

**maths trig**

A flag in the form of an equilateral triangle is connected to the tops of 2 vertical poles. One of the pole has a length of 4 and the other pole has a length of 3. You also know that the third vertex touches the ground perfectly. Calculate the length of a side

**Trig**

Can someone check my answers? Find # of triangles possible: <A=44.3, a=11.5, b=7.7 ... 2 triangles, B=~27.9 or B=~152.1 <A=29.3, b=20.5, a=12.8 ... 2 triangles, B=~51.6 or B=~128.4

**Trig**

A ship leaves port and sails at a bearing of 124degrees. Another ship leaves the same port, at the same time, sailing at a bearing of 74degrees. When both ships are 80 miles from the port, how far are they from each other?

**Trig**

1. Given Sin(A) = ⅗ and Cos(B) = 8/17 in Quadrant I, find Sin(A+B). a) 24/80 [b)] 84/85 c) 60/80 d) 60/85 Find Cos(A+B). a) 32/80 b) -45/85 c) -13/80 [d)] -13/85 Find Tan(A+B) a) 0.8 [b)] -1.72 c) -4.21 d) -6.46 I keep getting an 1.61 answer but that isn't an option? ...

**Algebralgebrad**

Trig ientities

**Trig**

if sin(x)=-0.5 and x is in the third quadrant, find x

**trig**

if sec theta =sqrt -20/3 state the exact value of tan theta

**MAth Trig**

Find the diameter of a circle with an arc length of 32 cm and a subtended angle of 72 degrees

**MATH**

Solve the integral using trig substitution (1/((x)(x^2+1)))dx

**MATH**

Integrate 1/(x(x^2+1)) dx using trig substitution

**Math - Trig**

The depth of water, h, in metres at time t, in hours, is given by the formula: h(t)=7.8+3.5sin[pi/6(t−3)]. Its a 24 hours period and t=0 is midnight. Provide an algebraic solution to determine the time(s) of day, the water reaches the depth of 10.29 m i got one time 4.51...

**Math - Trig**

The equation given below models the average monthly temperature (˚C). t denotes the number of months with t=1 representing January. During which months is the average monthly temperature 12.5˚C? 𝑇(𝑡) = 12.5 + 15.8sin (𝜋/6 (𝑡) −2...

**Math - Trig**

A hamster enters a wheel at the lowest point and begins to run . The height of point R (in the diagram below) above the ground is given by the function ℎ(𝑡) = −17.5 cos ( 2pi/3 𝑡) + 19, where ℎ is height in centimeters and 𝑡 is time in...

**Math - Trig**

Solve for exact or to 1d.p of x E [0 ,2pi] 4cos^2x-3

**Pre-Cal**

[Note: I'm still having issues with identities with regard to trig] Verify the Trig. identities: (a). cot(x+y)=(cotxcoty-1)/(cotx+coty) (b). sin0(cot0+tan0)=sec0 [Note: 0=theta symbol]

**trig**

what is the exact value of tan 105 degrees

**trig**

If a ship leaves port at 9:00 a.m. and sails due south for 3 hours at 14 knots, then turns N 60° E for another 2 hours, how far from port is the ship?

**trig**

If a ship leaves port at 9:00 a.m. and sails due north for 3 hours at 12 knots, then turns N 30° E for another hour, how far from port is the ship?

**Math (Trig)**

Suppose the point A is on a circle of radius 6 with an angle of 240 degrees. Find the value of the coordinates of this point. Round your results to 3 decimal places. So in this case, x=rcos(theta) y=rsin(theta) x=6cos(240) y=6sin(240) Rounding to 3 decimal places: x=-3 y=-5....

**Math (Right Triangle Trig)**

Suppose tan(theta)=5/7 and theta belongs to Quadrant III, find the exact value of sec(theta)? I already took the steps to solve this problem but I am confused if whether or not sec(theta)is positive or negative sqrt(74)/7 Any help is greatly appreciated!

**Trig**

6. To win a javelin throwing competition, your last throw must travel a horizontal distance of at least 100 feet. You release the javelin at a 40° angle with an initial speed of 71 feet per second. Do you win the competition? Justify your answer

**Math trig**

Hello guys. I am just wondering if tan^2 A (tan squared A) = sin^2 A /cos^2A And 2tan A = 2sin A / 2cos A This has been bothering me when I have to simplify trig. Thanks in advance.

**Trig**

If sin(theta) = 3/7, what is sin (pi/2 - theta)?

**Math (Trig)**

Convert the Cartesian coordinate (-1,2) to polar coordinates, 0≤θ<2π I know r is sqrt(5) but how would I find theta between 0 and 2pi? Thanks in advance!

**Math (Trig)**

A clock tower has been constructed such that the center of the clock is 40 feet above ground. The minute hand on the clock is 3 feet long. How far above the ground the end of the minute hand at 12:05? 1:00?

**geometry and trig**

If a cylinder with a 4 inch diameter and a 6 inch height holds 1 pound of oatmeal. How much oatmeal will a cylinder (similar) with a 10 inch diameter hold? Volume of 4 in-----24pi volume of 10 in----137pi I get 91 oz choiced are37,44,74, 192

**Math (Trig) lowering powers**

If cos^4(3x)-sin^4(3x)=cos(g(x)) then g(x)=? Use a^4-b^4=(a^2-b^2)(a^2+b^2)! thanks in advance for any help!

**trig**

sec = 7/2 and is in Q1, then what is double angle of tan?

**Trig**

Two rays with common endpoint O form a 30 degree angle. Point A lies on one ray, point B on the other ray, and AB=1. What is the maximum possible length of OB?

**Pre-Cal (Trig) Help?**

The following relationship is known to be true for two angles A and B: cos(A)cos(B)-sin(A)sin(B)=0.957269 Express A in terms of the angle B. Work in degrees and report numeric values accurate to 2 decimal places. So I'm pretty lost on how to even begin this problem. I do know ...

**trig, precalc, math, algebra, trigonometry**

Rewrite: tan(cos^−1 (v)) as an algebraic expression in v. Please help me understand.

**trig**

sin 25° cos 35° + cos 25° sin 35°

**Trig**

find the equation for the cosine function that has an amplitude of 3/5, a period of 3pi/2 and a y-intercept of 5.

**Math -Trig**

Determine the exact value if cot(3pi/4) using special triangles. I don't understand how it could be 1/tan3pi/4 in a triangle....

**Math - Trig**

if the diameter of a tire is 3.5 m and makes one rotation every 5 seconds, how far does the tire rotates in one minute?

**Geometry/Trig**

In triangle ABC, A is a right angle, and m b=45 degrees. What is the length of BC? If your answer is not an integer, leave it in simplest radical form. a. 16 ft b. 16 sq 2 ft c. 16 sq 3 ft d. 32 ft I'm really confused as to how to do this... Could someone please explain and ...

**trig**

tan(theta)/tan(2theta)-tan(theta)= cos(2theta)

**Trig**

Problem: A cable from the top of a 60 foot high tower is to be attached to the ground (x) feet from the base of the tower. A) if the cable makes an angle of t radians with the ground when attached, express t as a function of x. B) if t = pi/5, how far is the end of the cable ...

**Trig**

Solve each equation for exact solutions over the interval [0,360)where appropriate. Round approximate solutions to the nearest tenth degree. Sin^2Theta=Cos^2Theta+1 My Work: Using double angle Identity I subtract 1 to other side therefore: 1-Sin^2theta=Cos^2theta= Cos2theta=...

**Trig**

While fishing on a lake, the fisherman looks up at a cliff. His boat is 23 ft from the base of the cliff, and the angle of elevation is 40 degrees. Find the height of the cliff to the nearest tenth of a foot.

**trig**

A car is traveling at 34 miles per hour. If its tires have a diameter of 14 inches, how fast are the car’s tires turning? Express the answer in revolutions per minute and round to two decimal places.

**trig**

A car is traveling at 34 miles per hour. If its tires have a diameter of 14 inches, how fast are the car’s tires turning? Express the answer in revolutions per minute and round to two decimal places.

**Trig**

Days 0 2 4 6 8 10 12 14 16 Lions (number) 1272 1523 1152 891 1284 1543 1128 917 1185 Deer (number) 39 47 63 54 37 48 60 46 40 Find a sin Equation for Lions and deer. use this model. Thanks! y=k + A sin (Bx+C)

**trig**

Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place.) a = 63, c = 50, ∠C = 53°

**Math-Trig**

Answer to four significant figures, or to the nearest minute. f) one vertex angle of a rhombus is 25°. Find the ratio of the diagonals.

**Trig**

A small plane takes off from island A and flies in a straight line for 12 kilometers. At the same time, a sailor sitting in a sailboat who is 5 miles from the island measures the angled by from island A to the sailboat and the plane is 37 degrees. How far is the plane from ...

**Trig**

A Flagpole casts a 60 foot long shadow on the ground. The angle from the tip of the flagpole to the end of the flagpole's shadow measures 35 degrees. How tall is the flagpole? can i use tan(35degrees) = 60/h which gives me 85.714. Please check. Thanks!

**Trig(Check the answer)**

A Flagpole casts a 60 foot long shadow on the ground. The angle from the tip of the flagpole to the end of the flagpole's shadow measures 35 degrees. How tall is the flagpole? can i use cos(55degrees) = 60/h which gives me 104.61. Please check. Thanks!

**Trig**

A Flagpole casts a 60 foot long shadow on the ground. The angle from the tip of the flagpole to the end of the flagpole's shadow measures 35 degrees. How tall is the flagpole? Draw a picture and label. Thank you.

**Math Trig**

use a double-angle formula to find the exact value of cos2u when sinu=5/13 , where pi/2<u<pi So far I went cos2u=1-sin^2 =1-2(25/169) =1-(50/169)

**Trig**

If the terminal side of an angle theta contains the point (-1,3), find secant theta.

**Trig**

Find sin(x+y), cos(x-y), tan(x+y), and the quadrant of (x+y) if sinx= -1/4, cosy= -4/5, with x and y in quadrant 3.

**trig**

The minute hand of a clock is 7 inches long and moves from 12 to 11 o'clock. How far does the tip of the minute hand move? Express your answer in terms of pi and then round to two decimal places.

**Trig**

Find the length of a chord intercepted by a central angle of 25 degrees in a circle of radius 30 feet

**trig**

2(sinx)^2-5cosx-4=0 Solve for all solutions between [0,2pi]

**Trig**

suppose that the angle theta is in the second quadrant, and that sin(theta)=1/3. Find exact values for cos (theta) and csc (theta)

**Grade 11 Math Trig Ratio**

Solve cos315*cos(-390)-sin225*sin750 cos315: <RA = 360-315 = 45 cos45 = 1/√2 cos-390: <RA=-390+360 =30 cos30= √3/2 sin225: <RA = 225-180 = 45 Sin45=1/√2 Sin750: <RA = 750 - 2(360) =30 Sin30=1/2 Put it all together... (1/√2)(√3/2)-(1/&#...

**Trig**

How do I write cos(11x)cos(x)+sin(11x)sin(x) as a single trigonometric function? Please show steps.

**trig**

Angle θ lies in the second quadrant, and sin θ = 3/5. Find cos θ and tan θ.

**Trig**

Find the exact values of sec(x)=7. I know that cos(x)=1/7. I know that sin(x)= sqrt(1-91/4900). I know that tan(x)=1. I know how to do the problem but I'm not really sure why, and I'd like to know. I got 4sqrt(3). Please help!

**trig**

Which expression is equivalent to tan(-x)cos^2x? -sin xcos x sin xcos x tan x + sin2x tan x − sin2x -tan x − sin2x

**Trig**

If tan A= 3/4 and cos B=-5/13, where A and B are both third-quadrant angles, find sin(A+B). Please explain how you found all the answers

**geometry and trig**

I have a regular octagon with a radius of 9. I have split the 8 pie slices into right angles--leaving angles 90, 67.5, and 22.5. I looked for the sine of 22.5 opp/hyp and get .38. Then the oppositeside is 6.84. I can't get the right answer, what am I doing wrong? Thanks

**Trig Help**

Given the equation for simple harmonic method d=1.3cos(3pi/4 t) answer the following questions: a)Find the maximum displacement. 1.i got 1.3 b)Find the frequency and length of the pendulum c)Calculate the value of d when t=3 i got .919 d)Determine the least positive value of t...

**Trig**

Find the algebraic expression that is equal to sec theta - cos (-theta)

**Trig**

find the algebraic expression that is equal to sin (-theta) sec(-theta) cot(-theta)

**trig**

Simplify and write the trigonometric expression in terms of sine and cosine: cot(-x)cos(-x)+sin(-x)=-1/f(x)=f(x)=____________ I've tried everything, I think that the "-1/f(x)" part is screwing up my answer but I'm not sure what it's asking me to do with that?

**trig**

a building 60 feet high. from a distance at point A on the ground, the angle of elevation to the top of the building is 40 degree. from a little nearer at point B, the angle of elevation to the top of the building is 70 degree. What's the distance between point A and B ?

**Trig identity.**

I need help with verifying these trig identities: 1) sin4x = 4sinxcos - 8sin^3 x cos x 2) cos3x = cos^3 x - 3sin^2 x cos x

**Trig help**

Can someone help me find ALL solutions in the interval [0,2π) for the given equations. Please show work. 1) sin2x = sin2x 2) tan2x +tanx = 0

**Trig**

I have a diagram of how far a discus was thrown. From A to B is 100m, C is perpendicular to A, from A to C is 50m, A and B are connected to D (it should be a triangle), A has a 40° angle and B has a 75° angle. C is not perpendicular to D btw.. a. Find AD and use it to find ...

**Trig**

The original screamer radius =100 feet rotated 1 deg per sec. The engg decided to make it scarier by making it rotate 18 deg per second. Write the new equation for the vertical position of a passenger on the screamer where the domain is now the time per revolution (in sec)

**Trig - Ambiguous Cases**

Triangle HAV has <H = 124, a=8.5mm, and h=7.2mm How many solutions are there? What I attempted: SinH/h=SinA/a Sin124/7.2=SinA/8.5 SinA=8.5(Sin124/7.2) <A = 78.2 RULE => All interior angles must add up to 180 degrees therefore this triangle has 0 solutions. The ...

**trig**

half angle formula to find exact value cos 112.5 degree

**trig**

sin^4x

**trig**

sin 2x-cot x=