Question

Given that sina+2cosa=1then find the value of 2sina_cosa

Answer 1

Step-by-step explanation:

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Answer 2

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Given,

sinA + 2cosA = 1———(i)

or, sinA + 2cosA = sin²A + cos²A

or, sinA - sin²A = cos²A - 2cosA

or, sinA(1 - sinA) = cosA(cosA - 2)

or, sinA × 2cosA = cosA(cosA - 2) [From equation--(i)]

or, 2sinA = cosA - 2

or, 2sinA - cosA = -2

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