`sin theta+ 2cos theta =1`

sin2theta - cos2theta =1

If sin theta + 2 cos theta = 1, where 0 lt theta lt (pi)/(2), then what is 2 sin theta - cos theta equal to ?

Prove that sin^(2) theta + cos^(2) theta =1

Prove that sin^(2) theta + cos^(2) theta =1

(1+sin 2theta+cos 2theta)/(1+sin2 theta-cos 2 theta) =

(1+sin 2theta+cos 2theta)/(1+sin2 theta-cos 2 theta) =

For any acute angle theta , prove that: (i) sin^(2) theta + cos^(2) theta =1

If sin theta_(1) sin theta_(2) - cos theta_(1)cos theta_(2)+1=0 , then the value of tan(theta_(1)//2)cot(theta_(1)//2) is equal to:

(sin theta + sin 2 theta)/( 1 + cos theta + cos 2 theta) = tan theta.