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The value of (sec^2 theta)/(cosec^2 thet...

The value of `(sec^2 theta)/(cosec^2 theta)+(cosec^2 theta)/(sec^2 theta)- (sec^2 theta+cosec^2 theta)` is:
`(sec^2 theta)/(cosec^2 theta)+(cosec^2 theta)/(sec^2 theta)- (sec^2 theta+cosec^2 theta)` का मान ज्ञात करें |

A

`0`

B

`1`

C

`-2`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
C
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sec^2theta/(cosec^(2)theta) =

(sec^2theta-1)(cosec^2theta-1)

(cosec theta)/(cosec theta-1)+(cosec theta)/(cosec theta+1)=2sec^2theta

(sec^2theta-1)(cosec^2theta-1)=1

The value of sin^2 theta cos^2 theta (sec^2 theta + cosec^2 theta ) is

1/sec^2theta+1/(cosec^(2)theta)=

(cot theta)/((cosec theta+1))+((cosec theta+1))/(cot theta)=2sec theta

sec theta=cosec theta

1/sec^2theta+1/(cosec^(2)theta)=1