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How to solve for x if Sin(x-20)= Cos(3x+10) |
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Answer» Step-by-step EXPLANATION: sin(x−20 ∘ )=cos(3x−10 ∘ ) ⇒sin(x−20 ∘ )=sin(90 ∘ −(3x−10 ∘ )) SINCE sin(90 ∘ −θ)=cosθ ⇒x−20 ∘ =90 ∘ −(3x−10 ∘ ) ⇒x−20 ∘ =90 ∘ −3x+10 ∘
⇒x+3x=100 ∘ +20 ∘ =120 ∘
⇒4x=120 ∘
∴x= 4 120 ∘
=30 ∘ |
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