find all values of `theta epsilon [0,2pi]` for which 1) `sin theta + cos theta = 0` 2) `cos^2 theta = 1 + sin theta `

The sum of all values of theta in (0 , pi) satisfying sin^(2) 2 theta + cos^(4) 2 theta = 1 is:

For all values of theta in[0,(pi)/(2)], show that cos(sin theta)>=sin(cos theta), show that

A value of theta in (0, pi//3), for which |{:(1+"cos"^(2)theta, "sin"^(2)theta, 4"cos" 6 theta), ("cos"^(2)theta, 1+"sin"^(2)theta, 4"cos"6theta), ("cos"^(2)theta, "sin"^(2)theta, 1+4"cos"6theta):}| = 0, is

If 5 cos theta -12 sin theta =0 , the value of (2 sin theta +cos theta )/(cos theta - sin theta ) यदि 5 cos theta -12 sin theta =0 , है, तो (2 sin theta +cos theta )/(cos theta - sin theta ) का मान ज्ञात करें |

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

Find the value of theta, which satisfy 3-2cos theta-4sin theta-cos2 theta+sin2 theta=0

If 0 lt theta lt pi/2 and sin 2 theta = cos 3 theta, then the value of sin theta is-