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The general solution of sinx - 3 sin 2x...

The general solution of `sinx - 3 sin 2x + sin3x = cos x - 3 cos 2x + cos 3x ` is.

A

`npi + (pi)/(8)`

B

`(npi)/(2) + (pi)/(8)`

C

`(-1)n((npi)/(2) + (pi)/(8))`

D

`2n pi + "cos"^(-1)((3)/(2))`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise
  1. The number of solutions of the equation "tan" theta + "sec" theta = 2 ...

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  2. In a triangle ABC, angle A is greater than angle B. If the measures of...

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  3. The general solution of sinx - 3 sin 2x + sin3x = cos x - 3 cos 2x + ...

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  4. The equation (cosp - 1) x^2 +cosp x + sinp = 0 where x is a variable, ...

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  5. The solution of the equation cos^2theta+sintheta+1=0 lies in the inter...

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  6. If tantheta+tan4theta+tan7theta=tantheta*tan4theta*tan7theta, then tan...

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  7. The general value of theta satisfying the equation 2sin^(2)theta-3sint...

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  8. Find the general solution of the equation (sqrt3-1) sin theta +(sqrt3 ...

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  9. The most general values of theta satisfying the two equations costheta...

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  10. In a right angled triangle the hypotenuse is 2sqrt(2) times the length...

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  11. The set of values of x for which ("tan" 3x- "tan" 2x)/(1+"tan" 3 x "ta...

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  12. The value of theta , lying between theta =0 and theta=(pi)/(2) and ...

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  13. The solution set of (2"cos"x-1)(3+2"cos"x) = 0 in the interval 0 le x ...

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  14. If "tan" 2 theta "tan" theta =1, "then" theta =

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  15. The general solution of the trigonometric equation sinx+cosx=1 is give...

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  16. If sin5x+sin3x+sinx=0 ,then the value of x other than 0 lying between ...

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  17. Find the general values of theta which satisfies the equation tan th...

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  18. The values of theta satisfying "sin" 7 theta = "sin" 4 theta -"sin" th...

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  19. If alpha,beta are the different values of x satisfying acosx+bsinx=c t...

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  20. The equation a "sin" x+b "cos" x = c, " where"|c| gt sqrt(a^(2) + b^(2...

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