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Anestetic [448]
3 years ago
14

Need help with this question quick. Pre calculus question

Mathematics
1 answer:
Sholpan [36]3 years ago
8 0

Answer: -56/65

sin α = 4/5 => cos α = 3/5 (because 0 < α < pi/2)

cos β = -12/13 ⇒ sin β = 5/13 (because pi/2 < β < pi)

we have:

cos(α + β) = cosα.cosβ - sinα.sinβ = \frac{3}{5}.\frac{-12}{13}-\frac{4}{5}.\frac{5}{13}=\frac{-56}{65}

Step-by-step explanation:

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