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sin x+sin 2x + sin 3x+...+ sin nx =(sin(...

`sin x+sin 2x + sin 3x+...+ sin nx =(sin((n+1)/2)xsin(nx)/2)/sin(x/2)`

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sin x + sin2x + sin3x + ... + sin nx = (sin ((n + 1) / (2)) x (sin (nx)) / (2)) / (sin ((x) / (2)) )

Prove the following Identities sin x +sin 2x + sin 4x +sin 5x = 4 cos(x/2).cos((3x)/2)sin3x

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If y=sin x*sin2x.sin3x......sin nx, find y'

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Prove that: (i) sin 3x+"sin" 2x-"sin" x = 4 sin x cos((x)/(2))cos((3x)/(2)) (ii) ("sin" 3x+"sin" x)"sin" x+(cos 3x-cos x)cos x=0.

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CBSE COMPLEMENTARY MATERIAL-PRINCIPAL OF MATHEMATICAL INDUCTION -Short Answer Type Questions
  1. Prove the following by using the Principle of mathematical induction A...

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  2. Prove the following by the principle of mathematical induction: a+(...

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  3. Prove the following by the principle of mathematical induction: 7+7...

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  4. sin x+sin 2x + sin 3x+...+ sin nx =(sin((n+1)/2)xsin(nx)/2)/sin(x/2)

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  5. Using principle of mathematical induction prove that cosalpha\ cos2...

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  6. Prove the following by the principle of mathematical induction: 1^2...

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  7. Prove the following by using the Principle of mathematical induction A...

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  8. Prove the following by using the Principle of mathematical induction A...

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  9. Prove the following by using the Principle of mathematical induction A...

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  10. Prove the following by using the Principle of mathematical induction A...

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  11. 1 1^(n+2)+1 2^(2n+1) is divisible by 133.

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  12. Using the principle of mathematical induction. Prove that (x^(n)-y^(n...

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  13. Prove the following by using the Principle of mathematical induction A...

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  14. 7^(2n) + 2^(3n-3).3^(n-1) is divisible by 25

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  15. Prove the following by using the Principle of mathematical induction A...

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  16. Prove the following by using the Principle of mathematical induction A...

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  17. Prove the following by using the Principle of mathematical induction A...

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  18. Prove the following by using the Principle of mathematical induction A...

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  19. Prove the following by using the Principle of mathematical induction A...

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  20. Prove the following by using the Principle of mathematical induction A...

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