` sin theta + sin ( theta -pi ) + cos((pi)/(2) + theta) +cos ((5pi)/( 2) - theta ) =0`

sin""((pi)/2+ theta ) * cos (pi- theta ) * cot ""((3pi)/(2)+ theta ) - sin""((pi)/2- theta ) * sin""((3pi)/2 - theta ) * cot ""((pi)/2 + theta ) =

cos theta + sin theta - sin 2 theta = (1)/(2), 0 lt theta lt (pi)/(2)

sin ((pi) / (2) + theta) * cos ((3 pi) / (2) + theta) * tan ((5 pi) / (2) + theta) * cot ((7 pi) / (2) ) + theta)

cos^(2)(""(pi)/(6) + theta ) -sin^(2)""((pi)/(6) - theta ) =

If (3 pi)/(2)

What is the value of [ sin ( 90^(@) - 10 theta) - cos (pi - 6 theta) ] / [ cos ( pi/2 - 10 theta)- sin (pi - 6 theta) ] ?

What is the value of [sin (90^@-10 theta) -cos (pi- 6 theta)]//[cos (pi//2 -10 theta) - sin (pi- 6 theta)] ? [sin (90^@-10 theta) -cos (pi- 6 theta)]//[cos (pi//2 -10 theta) - sin (pi- 6 theta)] का मान क्या है?

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