YiyiD765963 YiyiD765963
  • 26-10-2022
  • Mathematics
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The equation 2sin x+sqrt3 cot x=sin x is partially solved below

The equation 2sin xsqrt3 cot xsin x is partially solved below class=

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EsaiahN252733 EsaiahN252733
  • 26-10-2022

Given:

[tex]2sinx+\sqrt{3}cotx=sinx[/tex]

The partially solved equation is,

[tex]sin^2x+\sqrt{3}cosx=0[/tex]

To find: The final step

Explanation:

We know that,

The trigonometric identity is,

[tex]1-cos^2x=s\imaginaryI n^2x[/tex]

Using this we get,

[tex]1-cos^2x+\sqrt{3}cosx=0[/tex]

Multiplying by -1 on both sides, we get

[tex]cos^2x-\sqrt{3}\cos x-1=0[/tex]

Final answer:

[tex]cos^2x-\sqrt{3}\cos x-1=0[/tex]
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