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Prove that sin^2 theta+sin^2 2theta+sin^...

Prove that `sin^2 theta+sin^2 2theta+sin^2 3theta+....+sin^2 n theta=n/2-(sin n theta cos(n+1)theta)/(2sin theta)`

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MOTION-TRIGNOMETRIC RATIOS & IDENTITIES -Exercise -3
  1. Prove that sin 3x .sin^(3) x+cos 3 x . Cos^(3)x=cos^(3) 2x

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  2. If tan beta=(tan alpha + tan gamma)/(1+ tan alpha . tan gamma) Prove...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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