Question

(sec²@ - 1) ( 1 - Cosec²@) = -1

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Answer 1

Step-by-step explanation:

By solving LHS

(sec²@-1)(1-cosec²@)

since, sec²@-1=tan²@

and, cosec²@-1=cot²@

-(tan²@)(cosec²@-1)

-(tan²@)(cot²@)

-(sin²@/cos²@)(cos²@/sin²@)

-{(sin²@*cos²@)/(cos²@*sin²@)}

-(1)

-1

hence proved

(sec²@-1)(1-cosec²@)=-1