Trigonometry Answers

sir please help me in solving the question
If sintheta +costheta=1 then solve for theta.

an object is rotating on a circular path at 4 revolutions per minute. the linear velocity of the object is 400 feet per minute. what is the radius of the circle and what is the angular velocity of the rotating platform?

A Ferris wheel rotate 3 times each minute. the passengers sit in seats that are 25 feet from the center of the wheel.what is the angular velocity of the wheel in degrees per minute and radians per minute?what is the linear velocity of the passengers in the seats?

The pendulum of an old clock is 90cm long.
It swings from side to side through an angle of 10°.
How wide must the clock case be made so that the pendulum can swing freely?

Add & Simplify
1/1+cos(x)+1/1-cos(x)

Question 1) simplify the following: sin(x+pi/6)+sin(x-pi/6)

Question 2) Suppose that cos(x)=8/17 and cos(z) = 2/3 where 0<z<x<pi/2 Find : sin(x+z)

find the exact value of cos and sin of angle (3, -6)

Elevation of a tower at a Station A due north of it is x and at a Station B due wist of A is y. Prove that height or the tower is AB*(sin(x)*sin(y))/sqrt(sin^2(x)-sin^2(y))

if cot b =12/5,then proof tan^2 b-sin^2b=sin^4b sec^b

WELL THE QUESTION IS (USING "A SQUARE +B SQUARE+C SQUARE" ,FIND THE LENGTH OF THE HYPOTENUSE OF THE TRIANGLE BELOW. SO, THE TRIANGLE HAS A=120 ,B=90 AND C=? SO WHAT THE ANSWER WOULD BE "C"?