Question

Prove that (sec²Q-1) (1-cosec²Q) =-1 ​

Answer 1

Step-by-step explanation:

since,

sec^2Q- tan^2Q=1

and

cosec^2Q - cot^2Q=1

we get,

sec^2Q-1 = tan^2Q

1 - cosec^2Q= -cot^2Q

Therefore,

(sec²Q-1) (1-cosec²Q) = (tan^2Q)(-cot^2Q)

=-1. -------( because -->tanQcotQ= 1)

Answer 2

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