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Express √3 cosx + sinx in the form of R sin(x+infinity) |
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Answer» Step-by-step EXPLANATION:cosx+3–√sinx=2cos(x−60∘)=2–√ So, cos(x−60∘)=12√=cos45∘ ⟹x−60∘=n360∘±45∘ where N is any integer Taking ′+′ SIGN, x−60∘=n360∘+45∘⟹x=n360∘+105∘ If 0≤x≤360∘,0≤n360∘+105∘≤360∘⟹n=0 Taking ′−′ sign, x−60∘=n360∘−45∘⟹x=n360∘+15∘ If 0≤x≤360∘,0≤n360∘+15∘≤360∘⟹n=0 So, x=15∘,105∘ |
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