Let cos(−θ)=−3/5 and tanθ> 0 . what is the value of sin(−θ) ? a. -4/5 b. 4/3 c. -3/5 d. 4/5

A

Step-by-step explanation:

The cosine of a right triangle is the adjacent over the hypotenuse. If the cosine is -3/5 then it must be a right triangle with sides 3, 4, & 5 since this is a Pythagorean triple. This means the sin will be -4/5. We know its negative because the tangent is positive so this is the 3rd quadrant where both Sine and Cosine are negative.

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