Question

cosec²(90°-theta)-tan²theta

Answer 1

Hi ,


Here I am using A instead of theta.
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We know that ,

1 ) Cosec ( 90 - A) = sec A

2 ) sec² A - tan² A = 1

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Cosec² ( 90 - A ) - tan² A

= Sec² A - tan² A

= 1

I hope this helps you.

:)

Answer 2

cosec²(90°-theta)-tan²theta
{cosec(90 - theta)= sec theta}

sec²theta -tan²theta
{ sec²theta-tan²theta = 1}
sec²theta -tan²theta =1