Taco:

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.

5 months ago
Taco:

We draw a triangle right?

5 months ago
Hero:

We can. Wanna draw it?

5 months ago
Taco:

|dw:1526888042704:dw| \[(-3)^2 + 4^2 = 9 + 16 = 25 \] \[hyp = 5\]

5 months ago
Hero:

|dw:1526888206069:dw|

5 months ago
Taco:

oh right, unit circle

5 months ago
Hero:

|dw:1526888392203:dw|

5 months ago
Hero:

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

5 months ago
Taco:

So it would be: \[\sin \theta = \frac{ -3 }{ 5}\] \[\cos \theta = \frac{ 4 }{ 5}\] \[\tan \theta = \frac{ -3 }{ 4 }\] \[\csc \theta = \frac{ 5 }{ -3 }\] \[sec\theta = \frac{ 5 }{ 4}\] \[\cot \theta = \frac{ 4 }{ -3}\]

5 months ago
Hero:

Looks good.

5 months ago
Taco:

or would you take out the negative

5 months ago
Taco:

oh wait you just meant lengths

5 months ago
Taco:

okay cool

5 months ago