It is correct that cos(x)=sin(90-x).It id obtained with the help of sin(a-b) formula.
What is trigonometry?
Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
sin(a-b)=sin(a)cos(b)-cos(a)sin(b)
L.H.S.
sin(90 - x) = sin(90)cos(x) - cos(90)sin(x)
cos(90)=0
sin(90 - x) = cos(x)
Hence,sin(90 - x) = cos(x) explained step by step above.
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