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Prove that sum(k=1)^(n-1) ""^(n)C(k)[c...

Prove that
`sum_(k=1)^(n-1) ""^(n)C_(k)[cos k x. cos (n+k)x+sin(n-k)x.sin(2n-k)x]=(2^(n)-2)cos nx`.

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ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Subjective Type Questions)
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  8. If {sin ( alpha-beta)+cos(alpha+2beta)sin beta}^(2)=4 cos alpha sin be...

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  10. In any DeltaABC, prove that Sigma (sqrt(sinA))/(sqrt(sinB)+sqrt(sinC...

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  11. If 2(cos ( alpha-beta)+cos(beta-gamma)+cos(gamma-alpha)+3=0, prove tha...

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  12. If the quadratic equation 4^(sec^(2)alpha)x^(2)+2x+(beta^(2)-beta+1/...

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  13. If cos2theta=x+1/x, prove that 2cos3theta=x^3+1/x^3

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  14. If (cos theta(1))/(cos theta(2))+(sin theta(1))/(sin theta(2))=(cos th...

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  15. Prove that sum(k=1)^(n-1) ""^(n)C(k)[cos k x. cos (n+k)x+sin(n-k)x.s...

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  16. Determine all the values of x in the interval x in [ 0, 2pi] which sat...

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  17. Total number of solution for the equation x^(2)-3[sin(x-(pi)/6)]=3 is ...

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  18. In aDeltaABC, prove that Sigma(r=0)^(n)""^(n)C(r)a^(r)b^(n-r) cos ( ...

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  19. Resolve Z^5+ 1 into linear & quadratic factors with real coefficients...

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  20. Prove that the roots of the equation 8x^(2)-4x^(2)-4x+1=0 are cos. (...

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