Question

Simplify sine squared theta divided by the quantity 1 minus sine squared theta.

Answer 1

@iPwnBunnies

Answer 2

= sin^2 theta/cos^2 theta=tan^2 theta

Answer 3

\[\frac{ Sin^2(\theta) }{ 1-\ Sin^2(\theta) }\]

Answer 4

1

tan2 È

sin2 È

cos2 È

those are the answers

Answer 5

You can use the identity:\[Cos^2(\theta) +Sin^2(\theta) = 1\]

Answer 6

so 1?

Answer 7

yes...sure...its 1

Answer 8

is it 1 bc sin theta cancels out

Answer 9

Solving for Cos^2(theta) you see:\[\cos^2(\theta) = 1-\sin^2(\theta)\]

Answer 10

No it is not 1.

Answer 11

Replace your new identity and you will find your solution.

Answer 12

its tan^2(e) right?

Answer 13

You have:\[\frac{ Sin^2(\theta) }{ 1-Sin^2(\theta) }\]
And know:\[Cos^2(\theta) =1 - Sin^2(\theta)\]

So replacing we now have:
\[\frac{ Cos^2(\theta) }{ Sin^2(\theta) }\]

Answer 14

Another identity can now be used since we have similar exponents:
\[\frac{ Cos^n(\theta) }{ Sin^n(\theta) }=Tan^n(\theta)\]
Where n = exponent value

Answer 15

Correct

Answer 16

so i was right? tan^2 E

Answer 17

yay thanks! can you help with some more?