Question

Verify the identity.

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

Answer 1

sin^(x)+cos^2(x)=1 ] divide both sides by cos^(x) you will get the required answer...

Answer 2

if it is not clear let me know to prove it for u in details...

Answer 3

tan^2x= sec^2x-1

Answer 4

\[-(\sec ^2x-1)+\sec ^2x=1\]

Answer 5

\[-\sec ^2x+1+\sec ^2x=1\]

Answer 6

\[-\sec ^2x+\sec ^2x+1=1\]

Answer 7

\[0+1=1\]

Answer 8

\[1=1\]

Answer 9

@Mertsj are u sure that's how?

Answer 10

There are multiple ways. That is one of them. You could also do what mathsmind said or you could replace sec^2x with 1+tan^2x

Answer 11

yes both ways are correct...