Question

Use basic identities to simplify the expression.

sin^2θ + tan^2θ + cos^2θ

Answer 1

These are the two you will need:
\[\sin^2 \theta + \cos^2 \theta = 1\]
\[1 + \tan^2 \theta = \sec^2 \theta\]

Answer 2

hint, use pythagorean identities

Answer 3

So my answer would be cos4x? @iPwnBunnies

Answer 4

No, try again. Are all of your quantities squared? Is your problem this:
Simplify
\[\sin^2 \theta + \tan^2 \theta + \cos^2 \theta\]

Answer 5

sorry wrong question i meant tan^2 angle

Answer 6

So, it is but I wrote above? Use the Pythagorean identities I gave you to simplify it. It'll look easier if you rearranged it:
\[\sin^2 \theta + \cos^2 \theta + \tan^2 \theta\]

Answer 7

so is it tan2θ? thats what i got @iPwnBunnies

Answer 8

@sidsiddhartha help :(

Answer 9

as iPwnBunnies mentioned above
1+tan^2x=sec^2x