Answer :

Given:


Let cosec x =a, cot x = b


According to the question



But, cosec2x –cot2x =1


a2 – b2 = 1


(a-b) (a + b) = 1



a + b=2


a-b =1/2 …(1)


a + b =2 …(2)


Adding (1) and (2)


2a = 1/2+2


a = 5/4




Cos2x = 1 – sin2x




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