Trigonometry Te...

A student is standing with a banner at the top of a 100 m high college building. From a point on the ground, the angle of elevation of the top of the student is 60° and from the same point, the angle of elevation of the top of the tower is 45°. Find the height of the student.

If sin (A + B) = √3 / 2 and tan (A – B) = 1. What are the values of A and B?

If Cos x – Sin x = √2 Sin x, find the value of Cos x + Sin x:

If tanØ + sinØ = m, tanØ - sinØ = n, find the value of m² - n².

If cos A + cos² A = 1 and a sin¹² A + b sin¹⁰ A + c sin⁸ A + d sin⁶ A - 1 = 0. Find the value of a+b / c+d

3sinx + 4cosx + r is always greater than or equal to 0. What is the smallest value ‘r’ can to take?

A right angled triangle has a height ‘p’, base ‘b’ and hypotenuse ‘h’. Which of the following value can h² not take, given that p and b are positive integers?

If Cos x – Sin x = √2 Sin x, find the value of Cos x + Sin x:

You are standing on the corner of a square whose side length is 25 feet. Standing on the opposite corner from you is a tall tree. The angle of elevation from your position to the top of the tree is exactly 60°. How tall is the tree?

Anil looked up at the top of a lighthouse from his boat and found the angle of elevation to be 30 degrees. After sailing in a straight line 50 m towards the lighthouse, he found that the angle of elevation changed to 45 degrees. Find the height of the lighthouse.