(cos^(2)theta-sin^(2)theta)/(sin theta cos theta)=cot theta-tan theta

Prove that :(cos theta-sin theta)/(cos theta+sin theta)=sec2 theta-tan2 theta

(sin theta+cos theta)(tan theta+cot theta)=

Prove that (cos theta-sin theta)/(cos theta+sin theta)=sec2theta-tan2theta

(cos theta-sin theta) / (cos theta + sin theta) = sec2 theta-tan2 theta

(1+sin2 theta-cos2 theta)/(1+sin2 theta+cos2 theta)=tan theta

Prove that (cos theta)/((1-tan theta))-(sin^(2)theta)/((cos theta-sin theta))=(cos theta+sin theta)

If f(theta)=|(cos^(2) theta, cos theta sin theta, -sin theta),(cos theta sin theta, sin^(2) theta, cos theta),(sin theta, -cos theta, 0)| then f((pi)/12)=

If (sin^(3)theta-cos^(3)theta)/(sin theta-cos theta)-(cos theta)/(sqrt(1+cot^(2)theta))-2 tan theta cot theta=-1 (AA theta in[0, 2pi], then

If (sin^(3)theta-cos^(3)theta)/(sin theta-cos theta)-(cos theta)/(sqrt(1+cot^(2)theta))-2 tan theta cot theta=-1 (AA theta in[0, 2pi], then

(sin^(3) theta-cos^(3) theta)/(sin theta - cos theta)- (cos theta)/sqrt(1+ cot^(2) theta)-2 tan theta cot theta=-1 if