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cos(a)=24/25 and lies in quadrant 4 and sin(b)=-4/11 in quadrant 3. find tan(a+b) simplify the answer type an exact answer using radicals?
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- DWReadLv 75 years ago
cosα = 24/25
sin²α = 1-cos²α = 49/625
sinα = -√(49/625) = -7/25
tanα = sinα/cosα = -7/24
sinβ = -4/11
cos²β = 1-sin²β = 105/121
cosβ = -√(105/121) = -√105/11
tanβ = sinβ/cosβ = 4/√105
tan(α+β) = (tanα+tanβ)/(1-tanatanβ)
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