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

If Tan x =  , find Cos x – Sin x, such that 0^o < x < 90^o (WASSCE 1999)

A.       B.        C.         D.

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

A.     B.     C.     D.  .

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

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.

If Sin θ =  , find all the values of θ between 0^o and 360^o (WASSCE 1997)

A. 120^o , 240^o      B. 120^o , 180^o       C. 210^o , 300^o      D. 210^o , 330^o