Question

\[\cos \theta =-\frac{1 }{ 5 } and \tan \theta > 0, find \sin \theta \]

Answer 1

This figure shows in which quadrants the sine, cosine and tangent are positive or negative.

Answer 2

Look at your give info.
Which quadrant is the answer in?

Answer 3

a.) 4/5
b.) -4/5
c.) \[2\sqrt{6}/5\]
d.) \[-2\sqrt{6}/5\]

Answer 4

-1/5 is a negative number so the cos is negative.
tan theta > 0 means the number is positive so the tan is positive.

Answer 5

We know we have a negative cosine and a positive tangent.
Which quadrant are we dealing with?

Answer 6

quad 3

Answer 7

Correct!

Answer 8

so sin is negative?

Answer 9

From that we know the sin is negative. Correct.

Answer 10

Ok.
Now we use a triangle.

Answer 11

that would leave us with B and D then right? cuz those are both negative