" 10."cos(30^(@)+theta)=(1)/(2)(sqrt(3)cos theta-sin theta)

(sin^(2) theta)/(1-cos theta)-(cos^(2) theta)/(1-sin theta)=cos theta-sin theta

If cos theta+sin theta=sqrt(2), then cos theta-sin theta=

Prove that: (sin^(3) theta + cos^(3) theta)/(sin theta + cos theta) = 1-sin theta cos theta

If sin theta+sqrt(3)cos theta>=1 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

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

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

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

Prove that (cos^(2) theta)/(1-tan theta)+(sin^(3) theta)/(sin theta - cos theta) =1 + sin theta cos theta .

cos theta - sqrt3 sin theta = 1