Mathematics Practice Test – Trigonometrical Ratios of Angles (Questions with Answers and Explanations)

If tan x = , find the value of Sin x; 0^o < x < 90^o (WASSCE 1996)

A.     B.     C.     D.  .

Given that Sin (A + B) = Sin A Cos B + Cos A Sin B, without using mathematical tables, evaluate Sin 105^o, leaving your answer in surd form. (NB: You may use 105^o = 60^o + 45^o)  

A.     B.     C.     D.

Without using tables, find the values of     (WASSCE 1995)

A. 2   B. 1   C. 0   D. -1

If Sin θ = Cos θ, for 0^o < θ < 90^o, find the value of θ. (WASSCE 1996)

A. 45^o, 225^o     B. 135^o, 315^o      C. 45^o, 315^o      D. 135^o, 225^o

If Sin (x + 30^o) = Cos 40^o, find x (WASSCE 1998)

A. 10^o   B. 20^o   C. 50^o   D. 60^o