Question

4. Prove the following identities :
(1) sec^2A-cos^2A = sin^2A (sec^2A +1)​

Answer 1

Step-by-step explanation:

sec sq. A-cos sq. A

=(1/cos sq. A )- cos sq. A

=(1-cos raised to 4 A)/cos sq.A

={(1-cos sq.A)(1+cos sq. A)}/cos sq.A

=sin sq. A{(1+cos sq.A)/cos sq.A}

sin sq A(sec sq. A + 1)

= RHS

several trigonometric and algebraic identities v are used

Answer 2

Soln refers to the attachment