Home
Class 11
MATHS
If sin theta=-(1)/(2) and tan theta=(1)...

If `sin theta=-(1)/(2)` and ` tan theta=(1)/sqrt(3)` then `theta` is equal to :-

A

`30^(@)`

B

`150^(@)`

C

`210^(@)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Let us first find out `theta` lying between 0 and `360^(@)`.
Since `sintheta=-1/2 rArr theta=210^(@)` or `330^(@)` and `tantheta=1/sqrt(3) rArr theta=30^(@)` or `210^(@)`
Hence, `theta=210^(@)` or `(7pi)/6` is the value satisfying both.
Promotional Banner

Similar Questions

Explore conceptually related problems

If tan theta = sqrt2-1 then tan (2theta)=1 .

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

If cos 2 theta =(sqrt(2)+1)( cos theta -(1)/(sqrt(2))) , then the value of theta is

If theta_1,theta_2,theta_3 are the three values of thetain[0,2pi] for which tantheta=lambda then the value of tan(theta_1/3) tan(theta_2/3) + tan(theta_2/3) tan(theta_3/3) + tan(theta_3/3) tan(theta_1/3) is equal to

If 0 lt theta lt (pi)/2 and 5 tan theta = 4 then (5 sin theta - 3 cos theta) / (sintheta +2 cos theta ) = 5/14

If tan theta=(1)/sqrt(5) and theta lies in the first quadrant, the value of cos theta is :

z=i+sqrt(3)=r(cos theta+sin theta)

Prove that (sin theta -cos theta+1 )/( sin theta + cos theta -1) =(1)/( sec theta -tan theta ) [use the identity sec ^(2) theta =1 +tan ^(2) 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