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)`

Verified by Experts

Similar Questions

Explore conceptually related problems

(sin theta)/(cot theta+cosec theta)=2+(sin theta)/(cot theta-cosec theta)

Prove that (sin theta + cos theta )( cosec theta - sec theta ) = cosec theta. Sec theta -2 tan theta

What is the value of (sin theta)/(cosec theta)+(cos theta)/(sec theta) ?

Prove that: (sin theta)/(cot theta + "cosec"theta) = 2 + (sin theta)/(cot theta - "cosec"theta)

((1+cos theta)^2+ sin^2 theta)/ ((cosec^2 theta-1)sin^2 theta) =?

Prove that (sin theta)/((cot theta+cosec theta))-(sin theta)/((cot theta-cosec theta))=2

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

((1+cos theta)^2+ sin^2 theta)/((cosec^2 theta-1) sin^2 theta) =

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