Prove the following identities :cos2 A (tan2 A+1) = 1

Taking LHS = cos2 A (tan2 A+1)= cos2 θ (sec2 θ) [∵ 1+ tan2 θ = sec2 θ ]= 1=RHSHence Proved

Q14 of 268 Page 5

Prove the following identities :
cos² A (tan² A+1) = 1

Taking LHS = cos² A (tan² A+1)

= cos² θ (sec² θ) [∵ 1+ tan² θ = sec² θ ]

= 1

=RHS

Hence Proved

Prove the following identities :

sinθ. cotθ = cos θ

Prove the following identities :

sin² θ(1+ cot² θ) = 1

Prove the following identities :

tan⁴θ + tan²θ = sec⁴θ – sec²θ

Prove the following identities :