Prove the following:`costheta+sin(270^@+theta)-sin(270^@-theta)+cos(180^@+theta)=0`

Prove the following: cottheta(1-cos2theta)=sin2theta

Prove the following: cos^4theta-sin^4theta+1=2cos^2theta

Prove the following: sin^4theta+cos^4theta=1-2sin^2thetacos^2theta

Prove the following : ( sec theta + tan theta ) ( 1-sin theta ) = cos theta

Select and write the correct answer from the given alternatives in each of the following:The value of cos(270^@+theta).cos(90^@-theta)-sin(270^@-theta).costheta is=

Prove the following: sin^4theta+2sin^2thetacos^2theta=1-Cos^4theta

Eliminate theta from the following: x=4cos theta-5sin theta , y=4sin theta+5cos theta

Prove the following: (frac(cos2theta)(1+sin2theta))=tan(pi/4-0)

Prove the following: tan^2theta-sin^2theta=Sin^4thetasec^2theta