The line with equation a + 4b = 0 coincides with the terminal side of an angle θ in standard position and cos θ> 0 . what is the value of sinθ

Treat as a function of , so that any point on this line takes the form . Suppose is positive; then any such point lies in the 4th quadrant, and this guarantees that the angle has a positive value for .

By definition of tangent and cotangent, we have

Recall the Pythagorean identity,

In the 4th quadrant, we have , so that as well. So when we solve for above, we need to take the negative square root:

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step-by-step explanation:

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step-by-step explanation:

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