Question

if 2 cos A=√3, find the value of 2 sin A+ √3tan A
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Answer 1

Answer:

2

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Step-by-step explanation:

cosA = 1/2 sqrt3

suppose we have a triangle of

bottom = sqrt3

incline = 2

then we can find the side = $\sqrt{2^2 -\sqrt{3}^2 } = 1$

then

sinA = side/incline=1/2

tanA = side/bottom = 1/sqrt3

then

2.SinA + sqrt3.tanA = 2. 1/2 + sqrt3 / 1/sqrt3 = 1+1 = 2