Question

which of the following is equivalent to the expression: sin^2 theta(csc^2 theta-1)???

Answer 1

A. sin^2 theta
B. cos^2 theta
C. csc^2 theta
D. sec^2 theta

Answer 2

Firstly, you know that:
\[\csc\theta=\frac{1}{\sin\theta}\]
What would:
\[\csc^2\theta=?\]

Answer 3

Remember:
\[\csc^2\theta=(\csc\theta)^2\]
So what would
\[\csc^2\theta=?\] in terms of sintheta?

Answer 4

I honestly don't know/:

Answer 5

would it be hyp/opp?

Answer 6

\[\csc\theta=\frac{1}{\sin\theta}\]
Right?
And if:
\[\csc^2\theta=(\csc\theta)^2\]
Then it also equals:
\[=(\frac{1}{\sin\theta})^2\]
Now get rid of the exponent and tell me what it equals?

Answer 7

(1/sin theta)^2 ?

Answer 8

That means:
\[\frac{1}{\sin\theta}\times \frac{1}{\sin\theta}=?\]

Answer 9

@pauli