If the points `(1,1):(0,sec^2theta);` and `(cos e c^2theta,0)` are collinear, then find the value of `theta`

If 0 le theta lepi and 8 1^(sin^2theta)+8 1^(cos^2theta)=30 is

If (1-tan theta)(1+tan theta)sec^2 theta+2^(tan^2 theta)=0 then in the interval (-pi/2,pi/2), the value of theta is

The centroid of a triangle formed by the points (0,0), ( cos theta, sin theta ) and ( sin theta, -cos theta ) lies on the line y = 2x, then is

(1-Sin^(2)theta)(sec^(2)theta)= ………… .

Evaluate the following (sec^(2) theta -1 ) (cosec ^(2) theta -1)

If cos 2theta=(sqrt(2)+1)(cos theta-(1)/(sqrt(2))) , then the general value of theta(n in Z)

Solve sin 2 theta+cos theta=0 .

If theta in (pi//4, pi//2) and sum_(n=1)^(oo)(1)/(tan^(n)theta)=sin theta + cos theta , then the value of tan theta is

If sin theta+cos theta=a and sec theta+cosec theta=b , then the value of b(a^(2)-1) is equal to