4sinx+3 Square root of 3 = Square root of 3

Mathematics · High School · Tue Nov 03 2020

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We have,

4sinθ + 3√3 = √3

Now, Transposing 3√3 to other sides,  we get

4sinθ = √3 -3√3

4sinθ = √3(1-3)

4sinθ = -2√3

Now, Dividing 4 from both sides,  we get

4sinθ/4 = -2√3/4

sinθ = -√3/2

We know sin240° =  -√3/2

So, θ = 240°