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If tanx+tan2x+tan3x=tanxtan2xtan3x then ...

If `tanx+tan2x+tan3x=tanxtan2xtan3x` then value of `|sin3x+cos3x|` is ___________

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The correct Answer is:
1
`tan x + tan 2x + tan 3x = tan x tan2x tan3 x`
`rArr x + 2x + 3x = n pi , n in Z`
`rArr x= n pi // 6, n in Z`
`" " |sin 3x + cos 3x | =1`
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CENGAGE-TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS-Exercise (Numerical)
  1. If sin^3xcos3x+cos^3xsin3x=3/8, then the value of 8sin4x is

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  2. The value of cos e cpi/(18)-4sin(7pi)/(18) is

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  3. If tanx+tan2x+tan3x=tanxtan2xtan3x then value of |sin3x+cos3x| is

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  4. 16(costheta-cospi/8)(costheta-cos(3pi)/8)(costheta-cos(5pi)/8)(costhet...

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  5. If (tan(I n6)dottan(I n2)dot"tan"(I n3))/(tan(I n6)-tan(I n2)-"tan"(I ...

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  6. If cot(theta-alpha),3cottheta,"cot"(theta+alpha) are in A.P. and theta...

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  7. The value of (2sinx)/(sin3x)+(tanx)/(tan3x) is.

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  8. If cot^2Acot^2B=3, then the value of (2-cos2A)(2-cos2B) is

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  9. The value of f(x)=x^4+4x^3+2x^2-4x+7, when x=cot(11pi)/8 is

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  10. The value of sin^2 12^0+sin^2 21^0+sin^2 39^0+sin^2 48^0-sin^2 9^0-sin...

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  11. Given that f(ntheta)=(2sin2theta)/(cos2theta-cos4ntheta), and f(theta)...

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  12. Suppose sin^3xsin3x=sum(m=0)^n Cmcosm x is an identity in x , where ...

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  13. If sec alpha is the average of sec(alpha - 2beta) and sec(alpha + 2bet...

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  14. If A, B and C are three values lying in [0, 2pi] for which tan theta =...

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  15. The value of [ ( sin ""(pi)/(9)) (4+ sec""(pi)/(9))]^(2) is .

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  16. ((sin 33^(@))/( sin 11^(@) sin 49^(@) sin 71^(@)))^(2) + (( cos 33^(@)...

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  17. If f( theta ) = sin ^(3)theta + sin ^(3)( theta + (2pi)/(3)) + sin ^(3...

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  18. The expression (1+sin22^@sin33^@sin35^@)/(cos^2 22^@+cos^2 33^@+cos^2 ...

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  19. If A >0,B >0a n dA+B=pi/3, the maximum value of tanAtanB is

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  20. If ( sin ^(3) theta)/( sin ( 2theta+ alpha )) = ( cos ^(3) theta)/( co...

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