If theta is an acute angle and sin((thet...

If `theta` is an acute angle and `sin((theta)/(2))=sqrt((x-1)/(2x))` ,then `tan theta` is equal to

A

`x ^(2)-1`

B

`sqrt(x^(2) -1)`

C

`sqrt(x^(2) +1)`

D

`x^(2) +1`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

If theta is an acute angle and sin(theta/2)=sqrt((x-1)/(2x)) , then tantheta is equal to

If pi/2 < theta < pi, then sqrt((1- sin theta)/(1+ sin theta))+sqrt((1+ sin theta)/(1- sin theta)) is equal to

If cos theta + sin theta = sqrt2 cos theta " then" cos theta - sin theta is equal to

If sin theta = sqrt3 cos theta, then theta is equal to

If 0 lt theta lt (pi)/(2) and (y+1)/(1-y) =sqrt((1+ sin theta)/( 1- sin theta)), then y is equal to

If sin theta = -1/2 and cos theta = (sqrt3)/(2), then theta lies in

If sin2theta=cos3theta and theta is an acute angle, then sintheta equal

If pi/2 lt theta lt (3pi)/2 , then sqrt((1-sin theta)/(1+sin theta)) is equal to

If 5 sin theta =3, then (sec theta+ tan theta)/(sec theta- tan theta) is equal to