Question

if 3sin x +5cos=5,prove that 5sinX-3cosx=+-3​

Answer 1

Step-by-step explanation:

➡3sinx+5cosx=5

➡(3sinx+5cosx)²=25

➡9sin²x+30sinxcosx+25cos²x=25

➡9(1-cos²x)+25(1-sin²x)=25-30sinxcosx

➡9-9cos²x+25-25sin²x=25-30sinxcosx

➡9=9cos²x+25sin²x-30sinxcosx

➡9=(3cosx-5sinx)²

➡3cosx-5sinx=±3

Answer 2

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