if α+β=90° then find the value of sin^2α+ sin^2β
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a+b=90 or, sina=sin(90-b)=cosb
sin^2a+sin^2b=1-cos^2b+sin^2b=1-cos2b=2sin^2 b
or,sina=sinb or,a=b=45°
sin^2a+sin^2b= 1
sin^2a+sin^2b=1-cos^2b+sin^2b=1-cos2b=2sin^2 b
or,sina=sinb or,a=b=45°
sin^2a+sin^2b= 1
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