Mathematics Practice Tests – Trigonometry

Trigonometry:

If Tan θ = , where θ is acute, find the value of Sin θ.

A. 13     B.     C.     D. 1

Trigonometry:

If Sin x = , find Cos x where x < 90°

A. 3      B.      C.      D. 1

If 2 Sin²θ  = 1 + Cos θ, 0^o ≤  θ ≤ 90^o, find the value of θ

A. 90^o      B. 60^o      C. 45^o      D. 30^o

A man is standing on the corridor of a 10 storey building and looking down at a tall tree in front of the building. He sees the top of the tree at an angle of depression of 30^o. If the tree is 200 m tall and the man’s eyes are 300 m above the ground, calculate the angle of depression of the foot of the tree as seen by the man.

A 30^o    B. 60^o    C. 45^o    D. 75^o

A man walks 100 m due West from a point X to Y, he then walks 100 m due North to a point Z. Find the bearing of X from Z.

A. 195^o      B. 135^o     C. 225^o     D. 045^o