Question

Let (4, -3) be a point on the terminal side of theta, an angle in standard position. find the values of sine, cosine, cosecant, secant, and cotangent.

Answer 1

We draw a triangle right?

Answer 2

We can. Wanna draw it?

Answer 3

\[(-3)^2 + 4^2 = 9 + 16 = 25 \]
\[hyp = 5\]

Answer 4

oh right, unit circle

Answer 5

I wrote 3, 4, and 5 to represent lengths only.

Answer 6

So it would be:

\[\sin \theta = \frac{ -3 }{ 5}\]
\[\cos \theta = \frac{ 4 }{ 5}\]
\[\tan \theta = \frac{ -3 }{ 4 }\]
\[\csc \theta = \frac{ 5 }{ -3 }\]
\[sec\theta = \frac{ 5 }{ 4}\]
\[\cot \theta = \frac{ 4 }{ -3}\]

Answer 7

Looks good.

Answer 8

or would you take out the negative

Answer 9

oh wait you just meant lengths

Answer 10

okay cool