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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 ENGLISH-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Subjective Type Questions)
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  4. The set of values of a for which the equation Sin^4 x + Cos^4 x = a ha...

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  6. If a, b, c and k are real constants and alpha, beta, gamma are variab...

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  7. If (x)/(tan(theta+alpha))=(y)/(tan(theta+beta))=(z)/(tan(theta+gamma))...

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  8. Let f(x)=cos(a1+x)+1/2cos(a2+x)+1/(2^2)cos(a1+x)++1/(2^(n-1))cos(an+x)...

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  10. If A, B, C are the angle of a triangle and |(sinA,sinB,sinC),(cosA,...

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

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

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  13. If the quadratic equation , 4^(sec^(2)alpha) x^(2) + 2x + (beta^(2)-...

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

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

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

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  19. Prove that the roots of the equation 8x^(3)-4x^(2)-4x+1=0 " are " co...

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