`(sintheta+sin2theta)/(1+costheta+cos2theta)`

For -pi/2 lt theta lt pi/2, (sintheta + sin 2theta)/(1+costheta + cos2theta) lies in the interval

Find the values of theta , for which cos3theta + sin3theta + (2sin2theta-3)(sintheta-costheta) is always positive.

Show that costheta [[costheta, sintheta],[-sintheta, cos theta]] + sin theta [[sintheta ,-cos theta],[costheta, sin theta]] =1

Simplify: cos theta[{:(costheta,sintheta),(-sintheta,costheta):}]+sintheta[{:(sin theta ,-costheta),(costheta, sintheta):}]

if A=[{:(costheta,sin theta ),(-sin theta,costheta):}] , then show that : A^(2)=[{:(cos2theta,sin2theta),(-sin2theta,cos2theta):}]

Prove that: (sin2theta)/(costheta cos3theta)+(sin4theta)/(cos3theta.cos5theta)+(sin6theta)/(cos5theta.cos7theta)+… to terms = 1/(2sintheta) [sec(2n+1)theta-sectheta]

The value of sectheta((1+sin theta)/(costheta)+(costheta)/(1+sintheta))-2tan^(2)theta is

If cos3theta + sin3theta+(2sin2theta-3)(sintheta-costheta) lt 0 , then subset of value of theta is

Prove the following Identities (1+sin theta-costheta)/(1+ sintheta+costheta)= tan(theta/2)

What is the simplified value of (2sin^(3)theta-sintheta)/(costheta-2cos^(3)theta) ?