if cosec theta=1/√2 find value of 2-sin^2theta-cos ^2 theta
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Answer:
cosec theta = 1/√2
sin^2 theta = 1/ cosec^2 theta
= 1/(1/2)
= 2
sin^2 theta + cos^2 theta = 1
therefore,
2+ cos^2 theta = 1
cos^2 theta = -1
cos theta = -1
therefore,
2-2-(-1)
=1
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