If `2sin(theta+(pi)/(3))=cos(theta-(pi)/(6))` then `tan theta`=

If 2 sin(theta+(pi)/(3))=cos(theta-(pi)/(6)) , then tantheta =

IF 2 sin ( theta +(pi)/(3)) = cos (theta -(pi)/(6)), then tan theta =

IF 2 sin ( theta +(pi)/(3)) = cos (theta -(pi)/(6)), then tan theta = ............... A) sqrt3 B) -(1)/(sqrt3) C) (1)/(sqrt3) D) -sqrt3

For theta in(0,(pi)/(2)), the maximum value of sin(theta+(pi)/(6))+cos(theta+(pi)/(6)) is attained at theta=

The maximum value of sin(theta+(pi)/(6))+cos(theta+(pi)/(6)) is attained at theta in(0,(pi)/(2))

If cos(theta_(1)-(pi)/(4))+sin(theta_(2)+(pi)/(2))+cos(theta_(3)-(pi)/(3))+3=0 , then tan theta_(1)+tan theta_(2)+tan theta_(3) is: (where theta_(1),theta_(2),theta_(3)in(0,2 pi))

Prove that sin(theta-(pi)/(6))+cos(theta-(pi)/(3))=sqrt(3)sin theta

The value of the determinant |sin theta,cos theta,sin2 thetasin(theta+(2 pi)/(3)),cos(theta+(2 pi)/(3)),sin(2 theta+(4 pi)/(3))sin(theta-(2 pi)/(3)),cos(theta-(2 pi)/(3)),sin(2 theta-(4 pi)/(3))

|(sin theta, cos theta, sin2theta),(sin(theta+(2pi)/(3)),cos(theta+(2pi)/(3)),sin(2theta+(4pi)/(3))),(sin(theta-(2pi)/(3)),cos(theta-(2pi)/(3)),sin(2theta-(4pi)/(3)))|=

If x=sin(theta+(7 pi)/(12))+sin(theta+(pi)/(12))+sin(theta+(3 pi)/(12))Y=cos(theta+(7 pi)/(12))+cos(theta+(pi)/(12))+cos(theta+(3 pi)/(12)) then prove that (X)/(Y)-(Y)/(X)=2tan2 theta