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Prove that the average of the numbers n ...

Prove that the average of the numbers `n sin n^@`, `n = 2,4,6...180` is `cot 1^@`

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ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Single Option Correct Type Questions)
  1. If AD is the altitude on BC and AD produced meets the circumcircle of ...

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  2. One side of a rectangular piece of paper is 6 cm, the adjacent sides b...

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  3. Prove that the average of the numbers n sin n^@, n = 2,4,6...180 is c...

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  4. A circle is inscribed inside a regular pentagon and another circle is ...

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  5. The value of sum(r=1)^(18) cos^(2)(5r)^(@), where x^(@) denotes the x ...

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  6. Minimum value of cos theta is equal

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  7. In a triangle ABC, cos 3A + cos 3B + cos 3C = 1, then find any one ang...

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  8. (sqrt(1+sin 2A)+sqrt(1-sin 2A) )/(sqrt(1 + sin 2A)-sqrt(1-sin2A)) If |...

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  9. For any real theta, the maximum value of cos^(2)(costheta)+sin^(2)(sin...

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  10. Find the ragne of the expression 27^(cos 2x) 81^(sin 2x)

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  11. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

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  12. If 4nalpha =pi then cot alpha cot 2 alpha cot 3alpha ...cot (2n-1)alph...

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  13. In DeltaABC, if (Sin A + SinB + SinC) (SinA + SinB - SinC) = 3SinA Sin...

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  14. If alpha,beta,gamma are acute angles and costheta=sinbeta//sinalpha,co...

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  15. If t a nbeta=(n sinalphacosalpha)/(1-n sin^2alpha) , show that tan(alp...

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  16. If (cos theta)/(a)=(sintheta)/(b), then (a)/(sec 2 theta)+(b)/(cosec 2...

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  17. The graph of the function y = cos x cos (x+2) - cos^(2)(x+1) is

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  18. If f (theta) = |sin theta| + |cos theta|, theta in R, then

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  19. If P=cos(cos x)+sin (cos x), then the least and greatest value of P re...

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  20. If u(n)=sin(n theta) sec^(n) theta, v(n)=cos(n theta) sec^(n) theta ,...

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