If theta + varphi = (pi)/(2) and tan th...

If `theta + varphi = (pi)/(2)` and `tan theta = sqrt(3)`, then what is the value of `cos(theta - varphi)` ?

A

`1//2`

B

`sqrt""3//2`

C

1

D

`1//sqrt""2`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

If "cosec" theta - sin theta =p^3 and sec theta - cos theta = q^3 , then what is the value of tan theta ?

If sec theta=2cos theta , where (pi/2) lt theta lt pi , then what is the value of theta ?

If sec^(2)theta+tan^(2)theta=sqrt(3) , then the value of (sec^(4)theta-tan^(4)theta) is

if tan(((pi)/(2))-((theta)/(2)))=sqrt(3) the value of cos(theta) is ?

If 3 tan theta tan phi=1 , then prove that 2 cos (theta+varphi)=cos (theta-varphi) .

If cos theta= -1/2 and pi < theta < (3pi)/2 then find the value of 4tan^2 theta- 3cosec^2 theta