Question

Simplify cos2 Θ(1 + tan2 Θ).

Answer 1

Hi,
is that\[\cos^2 \theta (1+\tan^2 \theta)\]?

Answer 2

Yes! That's it.

Answer 3

Do u know this trigonometric property 1 + tan^2(theta) = sec^2(theta)
So we get cos^2(theta)(sec^2(theta))
now
we know that sec^2(theta) = 1/cos^2(theta)

so we will get cos^2(theta) (1/cos^2(theta)) = 1

Answer 4

No, what is theta?

Answer 5

angle ..

Answer 6

Is that the 0 with the line in it?

Answer 7

The answer is 1?

Answer 8

yes

Answer 9

yes

Answer 10

Have u understood ?

Answer 11

cool, thanks:) Sorry I was looking at my other problems. Do you know how I can find this one:

If sin Θ = negative square root 3 over 2 and π < Θ < 3 pi over 2, what are the values of cos Θ and tan Θ?