Solve `cos4theta+sin5theta=2`

(i)If 3sin x+4cos ax=7 has atleast one solution; find the possible values of a.(ii) Solve cos^(50)x-sin^(50)=1( iii) Solve cos4 theta+sin5 theta=2

Solve cos 4 theta+ sin 5 theta=2 .

Solve cos^(2)theta+sin theta=1

Solve: cos5theta=cos2theta

Solve cos^(4)theta-sin^(4)theta=cos^2theta

Solve sin 3 theta-sin theta=4 cos^(2) theta-2 .

Solve: sin2theta+sin4theta=costheta+cos3theta

Solve 4sin theta sin2 theta sin4 theta=sin3 theta

Solve 3 theta-sin theta=4cos^(2)theta-2

Solve sin 6 theta=sin 4 theta-sin 2 theta .