Asked by pankaj

If sin(x-20°)=cos(3x-10°),find x.
Answered by Reiny
use the fact that
cos Ø = sin (90° - Ø)

cos(3x - 10) = sin(90 - (3x-10) )
cos(3x - 10) = sin(100 - 3x)

so sin(x-20) = sin(100 - 3x)
then:
x-20 = 100-3x
4x = 120
x = 30

check with your calculator
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