Question

Write each of the following in terms of sin θ and cos θ, and then simplify if possible. csc θ tan θ

Answer 1

\[\csc \theta = 1/\sin \theta\]

Answer 2

\[\tan \theta = \sin \theta / \cos \theta\]

Answer 3

the sin thetas cancel

Answer 4

you get:
\[1/\cos \theta = \sec \theta\]

Answer 5

are there any other problems?

Answer 6

sec θ tan θ csc θ this look hard

Answer 7

you get:
\[\frac{1}{\cos \theta} * \frac{\sin \theta}{\cos \theta} * \frac{1}{\sin \theta}\]

Answer 8

the sin thetas cancel again

Answer 9

you get:
\[\frac{1}{\cos^2 \theta} = \sec^2 \theta\]

Answer 10

thanks

Answer 11

you are welcome