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Solve the following trigonometric equati...

Solve the following trigonometric equation: `\ t a n2theta=sqrt(3)`

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To solve the trigonometric equation \( \tan(2\theta) = \sqrt{3} \), we can follow these steps: ### Step 1: Identify the angle whose tangent is \( \sqrt{3} \) We know that: \[ \tan\left(\frac{\pi}{3}\right) = \sqrt{3} \] This means that \( 2\theta \) can be equal to \( \frac{\pi}{3} \) plus any integer multiple of \( \pi \) (since the tangent function has a period of \( \pi \)). ...
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RD SHARMA-TRIGONOMETRIC EQUATIONS-Solved Examples And Exercises
  1. Find the general solutions of the following equation: sqrt(3)sec2theta...

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  2. Principal Solution of trigonometric equation: tantheta=1/(sqrt(3)) ar...

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  3. Solve the following trigonometric equation: \ t a n2theta=sqrt(3)

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  4. Solve the following trigonometric equation: tan3theta=-1

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  5. Solve the following equation: sin2theta+costheta=0

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  6. Solve the following equation: sin3theta+cos2theta=0

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  7. Solve the following equation: sin2theta+sin4theta+sin6theta=0

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  8. Find the general solutions of the following equation: sintheta=1/2

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  9. Find the general solutions of the following equation: cosx=-(sqrt(3))/...

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  10. Find the general solutions of the following equation: cos e ctheta=\ -...

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  11. Find the general solutions of the following equation: s e ctheta=sqrt(...

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  12. Find the general solutions of the following equation: t a ntheta=\ -1/...

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  13. Find the general solutions of the following equation: sqrt(3)sectheta=...

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  14. Find the general solutions of the following equation: sin2theta=\ (sqr...

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  15. Find the general solutions of the following equation: sin2theta=cos3th...

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  16. Find the general solutions of the following equation: t a n2thetat ...

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

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

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  19. Find the general solutions of the following equation: t a ntheta+cot2t...

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

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