Home
Class 12
MATHS
For theta in (0,pi/2) , let L=(sin the...

For `theta in (0,pi/2)` , let `L=(sin theta)^(sin theta)+(cosec theta)^(cosec theta)` and `M=(sin)^(cosec theta)+(cosec theta)^(sin theta)`, then -

A

`L gt M AA theta in (0, pi/4)`

B

`L lt M AA theta in (0, pi/4)`

C

`L lt M AA theta in (pi/4, pi/2)`

D

`L gt M AA theta in (0, pi/2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

(b) cosec theta=1+cot theta

(b) cosec theta=1+cot theta

Prove that (sin theta- "cosec" theta )(cos theta- sec theta )=(1)/(tan theta + cot theta).

prove that (cosec theta + cot theta)/(cosec theta- cot theta) = (cosec theta +cot theta)^2

Prove that : (sin theta + sec theta) ^(2) + (cos theta + cosec theta) ^(2) = (1 + sec theta cosec theta) ^(2).

Prove that (tan theta)/(1-cot theta)+(cot theta)/(1-tan theta) = (sec theta cosec theta +1)

Prove that : (tan theta)/(1 -cot theta) + (cot theta)/(1- tan theta) = 1 + sec theta cosec theta

Prove that (tan theta)/(sec theta -1)+ (tan theta)/(sec theta +1) = 2 cosec\ theta

prove that 1/(cosec theta-cot theta) - 1/(sin theta) = 1/sin theta - (1)/(cosec theta + cot theta)

find the value sin^(2)theta*cosec theta =?