Question

Simplify cos2 Θ(1 + tan2 Θ).

cos2 Θ + sin2 Θ

cos2 Θ

1

−1

Answer 1

@ganeshie8

Answer 2

Here are some useful trig identites:
\[1 + \tan^2 u = \sec^2 u\]
\[\sec u = \frac{1}{\cos u}\]
The second one also applies if they are raised to some power.

Answer 3

So the answer would be b right @iPwnBunnies

Answer 4

No. What did you do to simpify?

Answer 5

\[ = (\cos^2 u)(\sec^2 u)\]
\[= \frac{\cos^2 u}{\cos^2 u}\]
\[= 1\]

Answer 6

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?

cos Θ = negative 1 over 2; tan Θ = square root 3

cos Θ = negative 1 over 2; tan Θ = −1

cos Θ = square root 3 over 4; tan Θ = −2

cos Θ = 1 over 2; tan Θ = square root 3 @iPwnBunnies

Answer 7

I believe it was the third choice?

Answer 8

@ganeshie8