SOLUTION: For sin α = -3/5 with terminal side in QIII and tan β = -5/12 with terminal side in QIV, find cos(α-β) a.63/65 b.33/65 c.-33/65 d.-63/65

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Question 1079893: For sin α = -3/5 with terminal side in QIII and tan β = -5/12 with terminal side in QIV, find cos(α-β)
a.63/65
b.33/65
c.-33/65
d.-63/65

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

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In the 3rd quadrant, the cosine is negative
and the sides are 3-4-5, so if


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In the 4th quadrant, sine is negative
and cosine is positive.
This sides are 5, 12, 13 , so


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The answer is (C)


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