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If sin 3 alpha =4 sin alpha sin (x+alph...

If ` sin 3 alpha =4 sin alpha sin (x+alpha ) sin(x-alpha ) `, then

A

`x=npi pm (pi)/(3), n in I `

B

`x=npi pm (pi)/(6), n in I `

C

`x=npi pm (pi)/(2) , n in I `

D

None of the above

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The correct Answer is:
A
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ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Single Option Correct Type Questions)
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  3. If sin 3 alpha =4 sin alpha sin (x+alpha ) sin(x-alpha ) , then

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  5. cos 2x- 3 cos x + 1=(1)/((cot 2 x - cot x)sin (x-pi)) holds , if

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  6. If sec x cos 5x=-1 and 0 lt x lt (pi)/(4), then x is equal to

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  8. If sqrt(3) sin x - cos x ="min"(alpha in R){2,e^(2),pi, alpha^(2)-4al...

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  9. The number of solutions of the equation cos 4x+6=7 cos 2x , when x ...

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  10. The number of solutions of cot(5pi sin theta )=tan (5 pi cos theta ),...

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  11. If exp [(sin^(2)x+sin^(4) x +sin^(6)x+.... oo)" In" 2] satisfies the ...

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  12. The total number of solutions of cos x= sqrt(1- sin 2x) in [0, 2pi] is...

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  13. If the equation cos 3 x cos^(3) x + sin 3 x sin^(3) x =0 , then x is ...

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  14. Total number of solutions of sinx=(|x|)/(10) is equal to

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  15. The number of all possible 5-tuples (a(1),a(2),a(3),a(4),a(5)) such th...

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  16. x(1) and x(2) are two positive value of x for which 2 cos x,|cos x|...

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  17. If cos x-(cot beta sinx )/( 2 )=sqrt(3)/(2) , then the value of tan...

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  18. The expression nsin^(2) theta + 2 n cos( theta + alpha ) sin alph...

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  19. The value of the determinants |{:(1,a,a^(2)),(cos(n-1)x,cos nx , cos(n...

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  20. If sin (2alpha) /cos(2alpha) < 0 If alpha lies in

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