Find exact values for sin θ and tan θ if cos θ = -4/9 and tan θ > 0.

Part 1)

Part 2)

Step-by-step explanation:

we have that

The cosine of angle theta is negative and the tangent of angle theta is positive

That means that the sine of angle theta is negative

step 1

Find

we know that

we have

substitute

square root both sides

Remember that

In this problem the sine of angle theta is negative

so

step 2

Find

we know that

we have

substitute the given values