Home
Class 14
MATHS
If cot theta +tan theta =2sec theta ,0^ ...

If `cot theta +tan theta` =`2sec theta` ,`0^ @ < theta < 90^@`, then the value of `(tan2 theta-sec theta)/(cot2 theta+cosec theta)` is
यदि `cot theta +tan theta =2sec theta ,0^@ < theta < 90^@`,है, तो `(tan2 theta-sec theta)/(cot2 theta+cosec theta)` का मान क्या होगा ?

A

`( 2 sqrt(3) - 1)/( 11)`

B

`( 3 - sqrt(2) )/( 11)`

C

`( 2 sqrt(3) -2)/( 11)`

D

`( 3- sqrt2)/( 5)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If cot theta - tan theta = sec theta , then theta=

If cot theta-tan theta=sec theta then theta=

Prove that: cot theta + tan theta = cosec theta sec theta .

Prove each of the following identities : (i) ("cosec"theta + cot theta )/("cosec"theta - cot theta ) = ("cosec" theta + cot theta)^(2) = 1+2cot^(2) theta + 2"cosec" theta cot theta (ii) (sec theta + tan theta ) /( sec theta - tan theta) =(sec theta + tan theta )^(2) = 1+ 2tan^(2) theta + 2 sec theta tan theta

Prove that: (sec theta - cos theta)(cot theta + tan theta) = tan theta sec theta .

Prove that (i) (1)/(("cosec" theta- cot theta ))=("cosec" theta + cot theta) (ii) ((sec theta - tan theta))/((sec theta + tan theta))=(1+ 2tan^(2) theta - 2 sec theta tan theta)