# Trigonometry

**Trig**

Find the exact value of sin π/12.

**Trig**

Evaluate and simplify cos(-15º). Hint: Substitute 30º-45º for -15º.

**Trig**

Suppose sin A = 12/13 with 90º≤A≤180º. Suppose also that sin B = 7/25 with -90º≤B≤0º. Find tan (A - B).

**Trig**

Suppose sinA = 12/13 with 90º≤A≤180º. Suppose also that sinB = -7/25 with -90º≤B≤0º. Find cos(A - B).

**Trig**

Let sin A = 12/13 with 90º≤A≤180º and tan B = -4/3 with 270º≤B≤360º. Find tan (A + B).

**Trig**

suppose tan theta equal 4 and theta lies in the third quadrant. find the values of sec theta

**trig**

Let sin A = 12/13 with 90º≤A≤180º and tan B = -4/3 with 270º≤B≤360º. Find tan (A - B).

**trig**

Evaluate and simplify tan 5π/12.

**trig**

This identity means that translating a basic sine graph 3π/2 units to the right produces a basic cosine graph. True or False? sin(X-(3(pi)/2)) = cosX

**trig**

How do you solve sin(e^x)=0 for x? The question is "find the smallest number x such that sin(e^x)=0".... but I can't even get AN answer lol! Much appreciated!

**trig**

How do you solve sin(e^x)=0 for x? The question is "find the smallest number x such that sin(e^x)=0".... but I can't even get AN answer lol! Much appreciated!

**trig**

if 60 m of fencing is available for a rectangular garden, one side of which is against a barn, what areb the dimensions of the garden that will give the maximum area?

**trig**

u = (9, 2) v = (-5, -2) 2u - 3v = ?

**Trig hep, please? Thank you!**

1. Find the exact value of sin(195(degrees)) 2. If cot2(delta)=5/12 with 0(<or =)2(delta)pi, find cos(delta), sin(delta) , tan(delta). 3.find the exact value of sin2(x) if cos(x)= 4/5. (X is in quadrant 1) 4. Find the exact value of tan2(x) if sin(x)=5/13. ((X) in quadrant ...

**trig help much appreciated! :))**

1. Find the complete exact solution of sin x = . 2. Solve cos 2x – 3sin x cos 2x = 0 for the principal value(s) to two decimal places. 3. Solve tan2 x + tan x – 1 = 0 for the principal value(s) to two decimal places. 4. Prove that tan2 – 1 + cos2 = tan2 sin2 . 5. ...

**trig**

prove that :cosA-sinA+1/cosA+sinA-1=cosecA+cotA

**trig**

PROVE: Cos 2theta = .5 (cot theta - tan theta) Please help me

**Trig**

Given that csc θ = -4 and tan θ > 0, find the exact value of a. x b. sin θ c. cos θ d. r e. sec θ f. cot θ

**Trig**

Given that tan θ = - (√3/8) and θ is in QII, find the exact value of a. r = b. csc θ c. cos θ d. cot θ

**Trig**

Given that cos θ = 5/13 and θ is in QIV, find the exact value of a. y b. sin θ c. sec θ d. tan θ

**trig**

tan200(cot10-tan10)

**trig**

tan200(cot10-tan10)

**trig**

Find all solutions of cos (x) + 1/2 sec (x) = -3/2 in the interval (2pi, 4pi) (Leave your answers in exact form and enter them as a comma-separated list.)

**trig**

the base of a trapezoid are 22 and 12 respectively. the angle at the extremities of one base are 65 degree and 45 degree respectively. find two legs?

**trig**

Given that P=(-1,8) and Q=(-2,1), find the component form and magnitude of the vector 3 PQ.

**trig**

Which expression is equivalent to csc x - sin x?

**trig**

use a half-angle identity to find the exact value of tan 105 degrees.

**trig**

Write the standard form of the equation where p=π and o=7π/12

**trig**

A bird at the top of a tree looks down at a field mouse with an angle of depression of 65 degrees. If the field mouse is 30 meters from the base of the tree, find the distance from which the field mouse to the bird's eyes. Round the answer to the nearest tenth.

**Trig**

Find all solutions in the interval 0 degrees<θ<360 degrees. If rounding necessary, round to the nearest tenth of a degree. 17sec2 θ − 15tanθsecθ − 15 = 0

**trig**

A barge is pulled by two tugboats. The first tugboat is traveling at a speed of 12 knots with heading 140°, and the second tugboat is traveling at a speed of 17 knots with heading 200°. Find the resulting speed and direction of the barge. (Round your answers to the nearest ...

**trig**

An object suspended from a spring is oscillating up and down. The distance from the high point to the low point is 30 cm, and the objects take 4 sec to complete 5 cycles.For the first few cycles the distance from the mean position, d(t), in cm with respect to the time t sec is...

**trig**

1. A Ferris wheel with a radius of 7m makes one complete revolution every 16 s. The bottom of the wheel is 1.5m above ground. a)Find the equation of the graph b)predict how the graph and the equation will change if the Ferris wheel turns more slowly c) test your predictions ...

**trig**

tan(7π/4) + tan(5π/4) Does this = 0

**trig**

each wheel of a bicycle is of radius is 1.1 ft. if the wheels are making 4 revoultions per second how fast is the bicycle moving

**Calculus**

Find the positive value of x which satisfies x = 4.3cos(x). Give the answer to six places of accuracy. Remember to calculate the trig functions in radian mode

**trig**

Simplify: csc^2 x sec x / sec^2 x + csc^2 x

**college trig**

find the radius of a pulley if rotating the pulley 108.03 degrees raises the pulley 37.3mm

**trig**

simplify the expression. tan(π/2-x)tanx

**trig**

simplify the expression. cos^2x+sin^2x/cot^2x-csc^2x

**trig**

simplify the expression. (sin^2x+cos^2x) - (csc^2x-cot^2x)

**trig**

simplify the expression. cot^2(x)-csc^2(-x)

**trig**

simplify the expression. -sin^2x-cos^2x

**trig**

use basic identities to simplify the expression. csc θ cot θ / sec θ

**(pls help) Trig**

point P and Q are respectively 24m north and 7m east of point R. What is bearing of Q and P to the nearest whole degree.(a)52(b)164(c)134(d)159

**trig**

A turntable in a shop makes 36 revolutions per minute. How many revolutions does it make per second? My answer is 216 revolutions per second. Am I right? Thanks.

**trig**

Through how many degrees does the minute hand of a clock moves in 5 minutes? In 1 1/2 hours?

**Trig**

Suppose a CD player makes 48 revolutions per minute. Through how many degrees will a point on the edge of a CD move in 1 minute? In 2 sec?

**Trig**

A tire is rotating 600 times per minute. Through how many degrees does a point on the edge of the tire move in 1 minute?

**trig**

Find all solutions in the interval [0,2pi]. sin 2x + sin x = 0

**trig**

Find all real numbers in the interval [0,2pi) that satisfy the equation. cos^2 x+2 cos x+1 = 0

**Trig**

Multiply and Simplify. ( 1 + cot θ )^2

**trig**

A wheel with a 24-inch diameter is turning at the rate of 32 revolutions per minute. To the nearest inch per minute, what is the linear velocity of a point on the rim?

**trig, math**

Given triangle ABC with a = 16, b = 14, and β = 54°, find the value of c.

**trig, math**

A 175-pound force and a 230-pound force are acting on the same point in directions that differ by 42°. What is the angle that the resultant makes with the 175-pound force?

**Trig**

Determine the number of triangles with the given parts. b=24 c=29 B=40deg I got 1

**trig**

Find all solutions of the equation. Leave answers in trigonometric form. x^5-1024=0 I got 4(cos tehta + i sin tehta), tehta = 0, 2pi/5, 4pi/5, 6pi/5, 8pi/5 is this right

**trig, math**

Which of these functions has period 7? A)y= cot 7/pi x B)y= tan pi/7 x C)y= sin 7/pi x D)y= cos pi/7 x

**trig**

Write the complex number in trigonometric form, using degree measure for the argument. -12 - 16i

**trig**

Convert the rectangular coordinates to polar coordinates, using radian measure for the angle. (6, -6) 6√(2),7π/4 OR -6√(2),5π/4

**trig**

Solve the equation. Express your answer in trigonometric form. x^5 - 11 = 0

**trig**

Find the indicated roots. Write the answer in trigonometric form. Fourth roots of 256(cos 220° + i sin 220°)

**trig**

Use De Moivre's theorem to simplify the expression. Write the answer in a + bi form. [2(cos 240° + i sin 240°)]^5

**trig**

Find the dot product a*b. a= (5,-9), b=(4,-3)

**trig**

estimate the components of the vector. Round to one decimal place. [v] = 33.9, θ = 65.9° Find the horizontal and vertical components of v, and write in component form.

**trig**

find the indicated vector. let u = (-9,1), v=(-5,9). Find 3u+v

**trig, math**

In a right triangle with g the right angle, b = 86.5 and c = 125.8. What is β ?

**trig, math**

A stairway must be built to a deck that is 20 feet above ground level. To the nearest half foot, how far from the base of the deck, on ground level, should the beginning of the stairway be placed so that the stairway forms a 60° angle from the ground?

**trig**

Find z1z2 and z1/z2 for the pair of complex numbers using trigonometric form. z1=4+9i, z2=-5-5i I got z1z2 = 25-65i But cannot find the z1/z2.

**trig**

slove the equation exactly over the interval [0, 2pi) sinx=1-2sin^2x

**trig**

use an identity to write the expression as a single trignometric function. squ root 1-cos48°/2

**trig**

choose the expression that is equivalent to the given expression. 2 cos^2 4x-1

**trig**

Use the fundamental identities to simplify the expression. cos^2θ/sin^2θ+cscθsin_2; I got tan^2theta

**trig**

fidn all values of tehta in [0, 360) that satisfy the equation. √(3)tan(θ/2)=-1 I have four choices 300, 330, 150 , 120 and i got 120

**trig**

Multiply and simplify. (cos x - sin x)^2

**trig**

Choose the expression that is equivalent to the given expression. sin 6x tan 3x I got 2 sin^2 3x

**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

**trig**

Solve the right triangle with the given sides and angles. a = 3.0, B = 31.0°

**Physics (trig)**

The height of an outdoor basketball backboard is 12 1/3 feet and the backboard casts a shadow 19 1/5 feet. Find the angle of elevation of the sun (answer in units of degrees). Can someone help me with the formula? Thank you!

**trig**

Find all values of ¸ in [0°, 360°) that satisfy the equation. 2 sin 2θ - √(3) = 0

**trig**

Find all real numbers in [0, 2π) that satisfy the equation. cos 2x = √(2)/2

**trig**

Find all angles in degrees that satisfy the equation. Round approximate answers to the nearest tenth of a degree. tan α = -1.85

**trig**

Use a sum or difference identity to find the exact value. tan 25deg + tan 5deg / 1-tan 25deg tan 5deg

**trig**

Find cos(A+B). cos A=1/3 and sin B=-1/2, with A in quadrant I and B in quadrant IV.

**trig**

if 5sin theta + 12cos theta is equal to 13 find the value of tan theta

**Algebra 3 and trig**

An ocean liner is 177 miles due west of lighthouse A. Lighthouse B is 265 miles due south of lighthouse A. Find the distance from lighthouse B to the liner and the bearing of the ocean liner from lighthouse B.

**trig**

for the given angle, name the quadrant in whihc the terminal side lies. -350deg

**trig**

identify the quadrant in which 0 lies. sin < 0 and sec > 0

**trig**

determine the period of the function. y = cot 4t

**trig**

Identify the quadrant in which θ lies. sin > 0 and tan < 0

**trig**

Find the trigonometric function value of angle θ. Cos θ = 2/7 and θ is in quadrant IV. Find sin θ.

**trig**

The point (-3, 4) is on the terminal side of angle θ in standard position. Find cot θ.

**trig**

Given that θ is an angle in standard position whose terminal side contains the given point, provide the exact value of the indicated function. (-2, -3) Find sec θ.

**trig**

ferris wheel one has a 40ft diameter, revolves once every 30 seconds and is 5ft above ground. Ferris wheel two has a diameter of 20feet, revolves once every 15seconds and is 2 feet above the ground. each angular velocity?? each linear velocity??

**math - trig**

1. Find csc A, cos A and tan A of an angle A whose terminal side contains (– 12, – 5). 2. Find sin X, sec X and cot X of an angle X whose terminal side contains (– 3, 5).

**Trig**

The angle of elevation from a point on the ground to the top of a tower is 37deg5'. The angle of elevation from a point 120 feet farther back from the tower is 29deg5'. Find the height of the tower (to the nearest foot).

**Math Help**

Permutation and combinations (Trig/alg2 class) In how many ways can all the letters in SEYCHELLES be arranged?

**MATH -**

Permutation and combinations (Trig/alg2 class) In how many ways can all the letters in SEYCHELLES be arranged?

**Trig**

Find the reference angle θ'. θ= -7pi/9

**Trig**

Find the area of a sector with the given central angle θ in a circle of radius r. θ = 90°, r = 6 cm