Question

prove that cot^2theta sec theta-1/1+ sin theta + sec^2 theta(sin theta-1)/sin theta = 0​

Answer 1

Step-by-step explanation:

= cot^2theta ( sec^2 theta - 1 ) + sec^2theta ( sin^2theta - 1 ) / ( 1 + sintheta) ( 1+ sectheta )

= cot^2theta . tan^2theta + sec^2theta . ( cos^2theta ) / ( 1+ sintheta ) (1 + sectheta )

= 1 -1 / ( 1 + sintheta ) ( 1+ sectheta ) = 0