Let theta ,phi in [0,2pi] be such that 2...

Let `theta ,phi in [0,2pi]` be such that `2 cos theta (1-sin phi)=sin^2 theta ((tan)theta/2+(cot)theta/2) cos phi -1, tan(2pi-theta) > 0 and -1 < sin theta < -sqrt3/2.` Then `phi` cannot satisfy

A

`0 lt phi lt (pi)/2 `

B

`(pi)/2 ltphi lt (4pi)/3`

C

`(4pi)/3 lt phi lt (3pi)/2 `

D

`(3pi)/2 lt phi lt 2pi `

Verified by Experts

The correct Answer is:

A, C, D

Similar Questions

Explore conceptually related problems

Show that (1)/( cos theta ) -cos theta =tan theta .sin theta

Prove : (2 sin theta cos theta-cos theta)/(1-sin theta+sin^(2) theta-cos^(2) theta)=cot theta

Prove that (1+sin2theta)/(1-sin2theta)=((1+tantheta)/(1-tan theta))^(2)

Show that (cosec theta -cot theta )^(2) =(1-cos theta )/( 1+cos theta )

If tan(pi cos theta )= cot (pi sin theta ) ,then cos^(2)(theta -pi//4) is equal to

(sin 5theta+ sin 2theta- sin theta)/(cos5theta+2cos3theta+2cos^2theta+costheta) is equal to

Find real theta such that (3+2i sin theta)/(1-2i sin theta) is purely real.

If costheta + sin theta = sqrt2 cos theta , prove that cos theta - sin theta = sqrt2 sin theta .

The maximum value of the expression 1/(sin^2 theta + 3 sin theta cos theta + 5cos^2 theta) is

Prove that cos theta cos 2theta cos2^2 theta … cos 2^(n-1) theta = (sin2^n theta)/(2^n.sin theta) , for all n in N