If `x=sin(theta+(7pi)/(12))+sin(theta+pi/(12))+sin(theta+(3pi)/(12))dot` `Y=cos(theta+(7pi)/(12))+cos(theta+pi/(12))+cos(theta+(3pi)/(12))dot` then prove that `X/Y-Y/X=2tan2theta`

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

If 3cot(theta-(pi)/(12))=cot(theta+(pi)/(12))

If quad 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

3tan(theta - pi/12) = tan(theta + pi/12)

If tan((pi)/(2) sin theta)=cot((pi)/(2)cos theta) then sin(theta +(pi)/(4))=

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

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

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

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