Angle α lies in quadrant II , and tan α = rac{12}{5}" alt="-\frac{12}{5}" align="absmiddle" class="latex-formula"> . Angle β lies in quadrant IV , and cosβ=3/5 . What is the exact value of sin(α+β) ?
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sin(α+β) =
1 answer:
Since lies in quadrant II and lies in quadrant IV, we expect , , and .
Recall the Pythagorean identities,
It follows that
Recall the angle sum identity for sine:
So we have
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