9. Solve for the required ratios in each of the following Express each answer as an exact value with a rational denominator. a) Angle Theta terminates in the second quadrant. If tanTheta =-(sqrt (3))/(5) find sinTheta and cosTheta

Question

Answer 1

## Step 1: Find the value of

### Given that

, we know that

. Since

is in the second quadrant,

is negative and

is positive. Thus,

and

. We can find

using the Pythagorean theorem:

.

. Therefore,

.## Step 2: Calculate

### Now that we have

and

, we can find

.

. Rationalizing the denominator gives

.## Step 3: Calculate

### Similarly, we can find

using

and

.

. Rationalizing the denominator gives

.

Question