Question

The point (-3/5,y) in the third quadrant corresponds to angle θ on the unit circle.
The value of sec θ is?
and the value of cot θ is?

Answer 1

@jameskang1015

Answer 2

@Abhisar

Answer 3

@peachpi

Answer 4

-3/5 = cos Θ because the x-coordinate is cosine.
Flip it over to get sec Θ

Answer 5

so would sec 0 be -5/3? confused

Answer 6

yeah it is

Answer 7

thank you!

Answer 8

\(sin^2 \theta + cos^2 \theta=1\)
where sin Θ = y
\[y^2+ \left( \frac{ -3 }{ 5 } \right)^2=1\]
take y to be the negative solution since Θ is in the third quadrant
y = -4/5

cot Θ = x/y

Answer 9

\[\cot\theta=-\frac{ 3 }{ 5 }\div -\frac{ 4 }{ 5 }\]