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If e^(sin x)-e^(-sin x)-4=0 , then x= ...

If `e^(sin x)-e^(-sin x)-4=0` , then `x=` `0` (b) `sin^(-1){(log)_e(2+sqrt(5))}` (c) `1` (d) none of these

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To solve the equation \( e^{\sin x} - e^{-\sin x} - 4 = 0 \), we will follow these steps: ### Step 1: Rewrite the equation We start with the equation: \[ e^{\sin x} - e^{-\sin x} - 4 = 0 \] ...
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RD SHARMA-TRIGONOMETRIC EQUATIONS-Solved Examples And Exercises
  1. Solve that following equations : cot^2theta+3/(sin theta)+3=0

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  2. Solve that following equations : 2cos^2theta+3sintheta=0

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  3. If e^(sin x)-e^(-sin x)-4=0 , then x= 0 (b) sin^(-1){(log)e(2+sq...

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  4. Solve that following equations : cos e ctheta=1+cottheta

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  5. Solve that following equations : (sqrt(3)-1)costheta+(sqrt(3)+1)s int...

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  6. The number of values of thetain[0,2pi] that satisfy the equation sin^...

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  7. Solve that following equations : cottheta+t a ntheta=2

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  8. Solve that following equations : sqrt(3)costheta+ sintheta=1

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  9. Solve that equation : sintheta+sin3theta+sin5theta=0.

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  10. Solve that equation : costheta+cos3theta-2cos2theta=0

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  11. Solve: cottheta +cos e ctheta=sqrt(3)

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  12. Prove that: sin^2theta=sin^2alpha ,thentheta=npi+-alpha,n in Z

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  13. Write the values of x in[0,pi] for which sin2x ,1/2a n dcos2x are in A...

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  14. Prove that: tan^2theta=tan^2alpha ,theta=npi+-alpha,n in Z

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  15. Prove that: cos^2theta=cos^2alpha thentheta=npi+-alpha,n in Z

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  16. Find the general solutions of the following equations: (i) sin 2the...

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  17. Find the general solutions of the following equations: (i) cos3theta=0...

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  18. Find the general solutions of the following equations: tan2theta=0 ...

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  19. Prove that the general solution of sin"theta"=sin"alpha" is given by :...

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  20. Prove that the general solution of costheta=cosalpha is given by : the...

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