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Solve the following equation : tanФ+tan2...

Solve the following equation : tanФ+tan2Ф+√3tan Фtan2Ф = √3

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`sintheta/costheta+(cos2theta)/cos2theta+sqrt3sintheta/costheta*(sin2theta)/cos2theta=sqrt3`
`(sinthetacos2theta+sin2thetacostheta+sqrt3sinthetasin2theta)/(costhetacos2theta)=sqrt3`
`sin(theta+2theta)+sqrt3(sinthetasin2theta-costhetacos2theta)=0`
`sin3theta-sqrt3(costhetacostheta-sinthetasin2theta)=0`
`sin3theta-sqrt3cos3theta=0`
`tan3theta=sqrt3`
`theta=pi/9`
General solution
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RD SHARMA ENGLISH-TRIGONOMETRIC EQUATIONS-All Questions
  1. Solve that following equations : 2sin^2theta=3costheta,0lt=thetalt=p...

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  2. Solve that following equations: tanθ+tan2θ+tan3θ=tanθtan2θtan3θ

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  3. Solve the following equation : tanФ+tan2Ф+√3tan Фtan2Ф = √3

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  4. Solve: sqrt(2) sec theta+t a ntheta=1

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  5. Solve the equation: tantheta+tan2theta+tanthetatan2theta=1

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  6. If secxcos5x+1=0 , where 0ltxle(pi)/(2), then find the value of x.

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  7. If 3tan(theta+15^@)=tan(theta+15^@), then theta is equal to n in Z)

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  8. Solve that equations : tantheta + tan(theta+(pi)/3) + tan(theta+(2pi)/...

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  9. If tan ptheta- tan q theta = 0, then the series formed by values of t...

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  10. The equation 3cosx+4sinx=6 has ...... solution.

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  11. Solve that equation : sinmtheta+sinntheta=0.

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  12. Solve: 4sinxsin2xsin4x=sin3x

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  13. Solve: sin3alpha=4sinalphasin(x+alpha)sin(x-alpha),w h e r ealpha!=npi...

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  14. Solve: 2sin^2x+sin^2 2x=2

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  15. Solve: 7cos^2theta+3sin^2theta=4

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  16. Write the solution set of the equation (2costheta+1)(4costheta+5)=0 in...

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  17. Find the general solution : sec^2 2x=1-tan2x

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  18. Solve the equation : "tan"^2theta+(1-sqrt(3))tantheta-sqrt(3)=0

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  19. Solve the given equation : 4costheta-3s e ctheta=t a ntheta

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  20. Solve the equations : 2tantheta-cottheta=-1

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