Problema Solution

Which value of x solves the equation cos x° = sin (20° + x°), where

0 < x < 90?

Answer provided by our tutors

cos x° = sin (20° + x°)


since cos x° = sin (90 - x)° we can write


sin (90 - x)° = sin (20° + x°)


since 0<x<90 we have


90 - x = 20 + x


by solving we find


x = 35°


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