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If cos (x + 25)^o = sin 45^o, find the v...

If cos (x + 25)^o = sin 45^o, find the value of x

A.

20

B.

30

C.

45

D.

60

View answer & explanation

Correct answer is A

cos(x + 25^o) = sin 45^o

using cos $\theta$ = sin(90 - $\theta$ )

cos(x + 25^o) = cos(90 - 45)

cos(x + 25^o) = cos 45

x + 25 = 45

x = 45 - 25

x = 20^o

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