If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is

ANSWER

x=35°

EXPLANATION

We want to find the value of x, when

and 0°<x<90°

Recall that the sine and cosine are complementary trigonometric ratios.

Hence cos x = sin (90-x)

Our equation now, becomes;

We now equate the argument to get,

Group similar terms to obtain:

This implies that,

answer:

sometimes

*i think

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