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If sin 0 = 4/54/5 and cos e = = -3/5 then |
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Answer» I hope it will help youStep-by-step explanation:ANSWERIN quadrant IV, cosθ>0,sinθ<0,cosϕ>0 and sinϕ<0.Now, cos θ= 54 ⇒sin 2 θ=(1−cos 2 θ)=(1− 2516 = 259 ⇒sinθ=− 259 = 5−3 .And, cos ϕ= 1312 ⇒sin 2 ϕ=(1−cos 2 ϕ)=(1− 169144 = 16925 ⇒sinϕ=− 16925 = 13−5 .∴ cos(θ+ϕ)=cosθcosϕ−sinθsinϕ=( 54 × 1312 )−( 5−3 × 13−5 )=( 6548 − 6515 )= 6533 |
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