Posted by **hhfo** on Tuesday, July 26, 2011 at 7:30am.

Trigonometry Identities problem:

Prove the following;

(tan^2x)(cos^2x)

=

(sec^2x - 1)(1-sin^4x) ÷ (1+sin^2x)

- Math -
**Reiny**, Tuesday, July 26, 2011 at 8:09am
remember :

1 + tan^2x = sec^x and 1-sin^2x = cos^2 from the Pythagorean identities, so

RS = tan^2x(1-sin^2x)(1+sin^2)/(1+sin^2x)

= tan^2x(1-sin^2x)

= tan^2x cos^2x

= LS

- Math -
**hhfo**, Tuesday, July 26, 2011 at 8:26am
Okay I was confused about what to do with the power of 4..

Thank You!!

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