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The numerical value of ((1)/(costheta)...

The numerical value of
`((1)/(costheta)+(1)/(cot theta))((1)/(costheta)-(1)/(costheta))` is

A

0

B

`-1`

C

`+1`

D

`2`

लिखित उत्तर

Verified by Experts

The correct Answer is:
c
`[(1)/(costheta)+(1)/(cottheta)][(1)/(costheta)-(1)/(cottheta)]`
`=(sectheta+tantheta)(sectheta-tantheta)`
`=sec^(2)theta-tan^(2)theta[1+tan^(2)theta=sec^(2)]`
=1
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