Let theta be an angle in quadrant ii such that cos theta = -2/3
find the exact values of csc theta and tan theta.

So we have .

Step-by-step explanation:

Ok so we are in quadrant 2, that means sine is positive while cosine is negative.

We are given .

So to find the opposite we will just use the Pythagorean Theorem.

 This is the opposite side.

Now to find and .

.

Some teachers do not like the radical on bottom so we will rationalize the denominator by multiplying the numerator and denominator by sqrt(5).

So .

And now .

So we have .

Step-by-step explanation:

We are given that be an  angle in quadrant II and

We have to find the exact values of and .

Then substitute the value of cos theta and we get

Now,

Substitute the value of sec theta then we get

Because in quadrant II is negative.

Because in quadrant II is positive.

is positive in II quadrant.