Question

Help please! Use basic identities to simplify the expression sin^2 theta+ tan^2 theta + cos^2 theta

Answer 1

Go with cos.

Answer 2

As the answer?

Answer 3

No. I mean simplify stuff in terms of cos

Answer 4

@saifoo.khan

Answer 5

Yo?

Answer 6

What did you get when you solved it? @saifoo.khan

Answer 7

What do you get?

Answer 8

\[\large \sin^2\theta+\tan^2\theta+\cos^2\theta\]

Hmm I guess you want to take advantage of your most basic `Square Identity` first.
\[\large \sin^2\theta+\cos^2\theta=1\]Remember that one? :)
Addition is commutative, so see how we can move the cosine around to apply this identity?

Answer 9

Ok I'm following please go on from there @zepdrix

Answer 10

So if we move the cosine over, since it's just addition, we get:\[\large \color{royalblue}{\sin^2\theta+\cos^2\theta}+\tan^2\theta\]
So what does that simplify down to as our first step? :o

Answer 11

@saifoo.khan I got sec^2?