`(sin^2theta+cos^2theta)-sin^2theta = ?`

If |[1+sin^2theta, cos^2 theta,4sin 2theta] , [sin^2theta, 1+cos^2theta,4sin2theta] , [sin^2theta,cos^2theta,4sin2theta-1]|=0 and 0 lt theta lt pi/2 then cos4theta=

The value of (1-2 sin^2 theta cos^2 theta )/(sin^4 theta +cos^4 theta )-1 is: (1-2 sin^2 theta cos^2 theta )/(sin^4 theta +cos^4 theta )-1 का मान है :

tan^(2)theta-tan^(2)(90^(@)-theta)=(sin^(2)theta-cos^(2)theta)/(sin^(2)theta cos^(2)theta)

Prove the following identity: ((1)/(sec^(2)theta-cos^(2)theta)+(1)/(cos ec^(2)theta-sin^(2)theta))sin^(2)theta cos^(2)theta=(1-sin^(2)theta cos^(2)theta)/(2+sin^(2)cos^(2)theta)

If Delta_(1) =|{:(x, sin theta, cos theta),(-sin theta, -x, 1),(cos theta, 1,x):}| and Delta_(2) =|{:(x, sin 2theta, cos 2theta),(-sin 2theta, -x, 1),(cos 2theta, 1,x):}|, x ne 0 , then for all theta in (0, pi/2) , Then, Delta_(1) + Delta_(2) =-2x^(k) . The value of k is ________.

If sin theta=12/13 find the value of (sin^2 theta-cos^2 theta)/(2sin theta cos theta)xx1/(tan^2 theta)

If sin theta=(12)/(13), find the value of (sin^(2)theta-cos^(2)theta)/(2sin theta cos theta)xx(1)/(tan^(2)theta)

If cos theta=(5)/(13), find the value of (sin^(2)theta-cos^(2)theta)/(2sin theta cos theta)xx(1)/(tan^(2)theta)

Let triangle1=|{:(x,sintheta,costheta),(-sintheta,x,1),(costheta,1,x):}| and triangle2=|{:(x,sin2theta,cos2theta),(-sin2theta,x,1),(cos2theta,1,x):}| then which of following is/are true?

If 7sin^2 theta-cos^2 theta+2sin theta=2 , 0^@ यदि 7sin^2 theta-cos^2 theta+2sin theta=2 , 0^@< theta<90^@ , है, तो (sec2 theta+cot2 theta)/(cosec 2theta+tan2 theta) का मान होगा :