Question

Prove that tan square a+tan power 4 a=sec power 4 a- sec square a

Answer 1

Answer:

L.H.S=R.H.S

Step-by-step explanation:

tan^2A+tan^4A=sec^4-sec^2A

common tan^2A from L.H.S and sec^2A from R.H.S

tan^2A(1+tan^2A)=sec^2A(sec^2A-1)

using identities..

tan^2A×sec^2A= sec^2A×tan^2A

or we can write this statement

tan^2A×sec^2A=tan^2A×sec^2A

proved