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सिद्ध कीजिए कि - cos x+cos ((2pi)/(3)+...

सिद्ध कीजिए कि -
`cos x+cos ((2pi)/(3)+x)+cos((2pi)/(3)-x)=0`

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Prove that cos x+cos((2 pi)/(3)-x)+cos((2 pi)/(3)+x)=0

Prove that (i) "cos " ((pi)/(3) +x) =(1)/(2) ( " cos " x - sqrt(3) sin x) (ii) " sin " ((pi)/(4) + x) + " sin " ((pi)/(4)-x) =sqrt(2) " cos " x (iii) (1)/(sqrt(2)) " cos ((pi)/(4) + x) = (1)/(2) " (cos x - sin x) " (iv) " cos x + cos " ((2pi)/(3) +x) + " cos " ((2pi)/(3)-x) =0

The period of cos x*cos((pi)/(3)+x)*cos((pi)/(3)-x) is

Find the sum of maximum and minimum values of cos x cos((2 pi)/(3)+x)cos((2 pi)/(3)-x)

The range of cos^(2)(2(pi)/(3)-x)+cos^(2)(2(pi)/(3)+x) is

Prove that (i) " cos " ((pi)/(4) + x) + " cos " ((pi)/(4)- x) =sqrt(2) " cos " x (ii) " cos " ((3pi)/(4) + x) - "cos " ((3pi)/(4)-x) =- sqrt(2) " sin " x

cos((3pi)/(4)+x)-cos((3pi)/(4)-x) = -sqrt(2)sinx

Prove that: cos((3 pi)/(4)+x)-cos((3 pi)/(4)-x)=sqrt(2)sin x

Extreme values of 4cos^(2)(x^(2))cos((pi)/(3)+x^(2))*cos((pi)/(3)-x^(2)) over R.

Prove that: cos((3 pi)/(4)+x)-cos((3 pi)/(4)-x)=-sqrt(2)sin x

MOTION-TRIGNOMETRIC RATIOS & IDENTITIES -Exercise -3
  1. If tan beta=(tan alpha + tan gamma)/(1+ tan alpha . tan gamma) Prove...

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  2. Prove that sin^2 theta+sin^2 2theta+sin^2 3theta+....+sin^2 n theta=n/...

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  3. सिद्ध कीजिए कि - cos x+cos ((2pi)/(3)+x)+cos((2pi)/(3)-x)=0

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  4. Find the maximum and minimum values of (i) cos 2x + cos^(2)x (ii) ...

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  5. An maximum value of 1+4 sin theta + 3 cos theta is

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  6. If phi is the exterior angle of a regular polygon of n sides and theta...

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  7. If - pi/2 < x < pi/2 and y=log10(tanxsecx). Then the expression E=(10^...

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  8. If the arcs of the same length in two circles subtend angles 75^(@) a...

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  9. Find the length of an arc of a circle of radius 10 cm which subtends ...

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  10. If cos(alpha-beta)+cos(beta-gamma)+cos(gamma-alpha)=-3/2 , prove that ...

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  11. For all theta in [ 0, pi//2], show that cos ( sin theta) gt sin (cos...

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  12. Calculate the following without using trigonometric tables (i) tan ...

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  13. If sin(theta+alpha)=asin(theta+beta)=b(0 lt alpha,beta,theta lt pi/2)...

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  14. If A+B+C=pi prove that tan B tan C+tanc tan A+ tan A tan B =1 +sec A....

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  15. Where n is some integer then answer the following question The value...

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  16. If for n obtained in above question sin^(n) A= x then sin A sin 2A sin...

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  17. If degree of polynomal obtained in previous question is p and (p-5) + ...

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  18. in triangle ABC, tan A + tan B + tan C=

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  19. If A + B + C = π, Prove that tanB tanC+tanC tanA+tanA tanB=1+secA . se...

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  20. if A+B+C= pi Then value of tan(3A) +tan(3B) + tan(3C) is

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