Evaluate : `|(2costheta, -2sintheta),(sintheta, costheta)|`.

Evaluate : costheta[(costheta, sintheta),(-sintheta, costheta)]+sintheta[(sintheta,-costheta),(costheta, sintheta)]

If sectheta =sqrt(p^2+q^2)/q , then the value of (p sintheta-q costheta)/(p sintheta+q costheta) .

The distance between the points (costheta,sintheta) and (sintheta,-costheta) is a)1 b)2 c) sqrt2 d) sqrt3

Prove the following (cosectheta-sintheta)(sectheta-costheta)=1//(tantheta+cottheta)

Eliminate theta and phi costheta +sintheta=a , sintheta*costheta =b

If cottheta=7/8 evaluate:(i) ((1+sintheta)(1-sintheta))/((1+costheta)(1-costheta))

Prove the following (sintheta-2sin^3theta) /(2cos^3theta-costheta) =tantheta

Find (d^2y)/(dx^2) : x = 2costheta - cos2theta, y = 2sintheta - sin2theta at theta = (pi)/2 .

Prove that (((1+cot theta +tan theta)(sintheta-costheta))/(sec^3theta -cosec^3theta)) = (sin^2theta cos^2theta)

Prove that sintheta/(1+costheta) + (1+costheta)/sintheta = 2cosectheta