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Find the general solutions of the following equation: `sin2theta=\ (sqrt(3))/2`

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Given equation `sin2theta=sqrt(3)/2`
`sin2theta=sin(π/3)`
If `sinx=siny`
then general formula is `x=nπ+(−1)^ny;`
using this we get ,
`2theta=nπ+(−1)^n(π/3)`
`theta=n(π/2)+(−1)^n(π/6)`
..​
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RD SHARMA-TRIGONOMETRIC EQUATIONS-Solved Examples And Exercises
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  2. Find the general solutions of the following equation: sqrt(3)sectheta=...

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  6. Find the general solutions of the following equation: sin 2theta+cos...

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  7. Find the general solutions of the following equation: cos3theta=1/2

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  9. Find the general solutions of the following equation: t a n mtheta=cot...

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  10. Find the general solutions of the following equation: sintheta=tanthet...

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  11. Find the general solutions of the following equation: sin9theta=sinthe...

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  13. Find the general solutions of the following equation:t a n ptheta=cot ...

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  14. Find the general solutions of the following equation: sin3theta+cos2th...

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  15. Solve the following equation: sin^2theta-costheta=1/4

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  16. Solve the following equation: 2sin^2x+sqrt(3)cos x+1=0

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  17. Solve the following equation: tan^2x+(1-sqrt(3))tanx-sqrt(3)=0

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  18. Solve the following equation: \ 3cos^2theta-2\ sqrt(3)sinthetacostheta...

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  19. Solve the following equation: \ 2cos^2theta-5\ costheta+2=0

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  20. Solve the following equation: \ 4sin^2theta-8costheta+1=0

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