cot^(2)(90^(@)-theta)=cos^(2)(90^(@)-theta)+cos^(2)theta

Prove that (cos theta cos(90^(@)-theta))/(cot(90^(@)-theta))=cos^(2)theta

Prove that :(sin theta cos(90^(0)-theta)cos theta)/(sin(90^(0)-theta))+(cos theta sin(90^(0)-theta)sin theta)/(cos(90^(@)-theta))=1csc^(2)(90^(@)-theta)-tan^(2)theta=cos^(2)(90^(@)-theta)+cos^(2)theta

Prove that sin (270^(@)-theta) sin (90^(@)-theta)-cos(270^(@)-theta) cos (90^(@)+theta)+1=0

sin(270^(@)-theta).sin(90^(@)-theta)-cos(270^(@)-theta).cos(90^(@)+theta)=

What is the value of [tan^(2)(90-theta)-sin^(2)(90-theta)]cosec^(2)(90-theta)cot^(2)(90-theta) ?

Prove that : (i) sinthetacos(90^(@)-theta)+sin(90^(@)-theta)costheta=1 (ii) sectheta" cosec"(90^(@)-theta)-tanthetacot(90^(@)-theta)=1 (iii) (sintheta*sec(90^(@)-theta)cot(90^(@)-theta))/("cosec"(90^(@)-theta)*costheta*tantheta)-(tan(90^(@)-theta))/(cottheta)=0 (iv) (1+sin(90^(@)-theta))/(cos(90^(@)-0))+(cos(90^(@)-theta))/(1+sin(90^(@)-0))=2"cosec"theta

Prove that : (i) sinthetacos(90^(@)-theta)+sin(90^(@)-theta)costheta=1 (ii) sectheta" cosec"(90^(@)-theta)-tanthetacot(90^(@)-theta)=1 (iii) (sintheta*sec(90^(@)-theta)cot(90^(@)-theta))/("cosec"(90^(@)-theta)*costheta*tantheta)-(tan(90^(@)-theta))/(cottheta)=0 (iv) (1+sin(90^(@)-theta))/(cos(90^(@)-0))+(cos(90^(@)-theta))/(1+sin(90^(@)-0))=2"cosec"theta

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

Simplify the following: (i) "sin"(90^(@)+theta)"tan"(270^(@)+theta)cot(90^(@)+theta) cosec(270^(@)+theta) (ii) ("sin"(-theta)"tan"(180^(@)+theta)"tan"(90^(@)+theta))/(cot(90^(@)-theta)cos(360^(@)-theta)"sin"(180^(@)-theta))

Prove the following: (cos(90^(@)-theta)sec(90^(@)-theta)tan theta)/(cos ec(90^(@)-theta)sin(90^(@)-theta)cot(90^(@)-theta))+(tan(90^(@)-theta))/(cot theta)=2