sinx=cos19∘

What is the value of x?

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x =

Sin x = cos (19)

sin x = .9455

arcsin (sin x) = x = arcsin (.9455) = 71 degrees

Here's one thing to remember....because the sine and cosine are co-functions ......

sin (90 - x)° = cos x° .....so letting x = 19°, we have that

sin (90 - 19)° = cos 19°

sin 71° = cos 19°

So....x = 71°