Using the above graph, if 10o < x < 60o, what is the value of x for which sin x = cos x?

Assessment: WAEC SSCE - General Mathematics - 1989 (Objective) Subject: General Mathematics

Question 1 Report

Using the above graph, if 10o < x < 60o, what is the value of x for which sin x = cos x?

Answer Details
Since sin x = cos x, we have: sin x = cos x Dividing both sides by cos x, we get: tan x = 1 Taking the inverse tangent (tan-1) of both sides, we get: x = 45o Therefore, the value of x for which sin x = cos x is 45o. Therefore, the correct option is (d) 45o.

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