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A+B+C=pi,prove that sin^2(A/2)+sin^2(B/2...

`A+B+C=pi`,prove that `sin^2(A/2)+sin^2(B/2)+sin^2(C/2)=1-2sin(A/2)sin(B/2)sin(C/2)`

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UNITED BOOK HOUSE-NAVA NALANDA-EXERCISE
  1. Find the mean deviation about the median for the following data:

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  2. For any three sets A, B, C, Prove that A cap(BcupC)=(AcapB)cup (A cap ...

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  3. A+B+C=pi,prove that sin^2(A/2)+sin^2(B/2)+sin^2(C/2)=1-2sin(A/2)sin(B/...

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  4. Solve :tanx+tan(x+pi/3)+tan(x+(2pi)/3)=3

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  5. Using the principle of mathematical induction prove that 3^(2n+1)+2^(n...

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  6. If alpha and beta are different complex numbers with |beta|=1, then fi...

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  7. A question paper contains 12 questions divided into three parts.Parts...

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  8. Prove that the inequations (2x+1)/(7x-1)>5and (x+7)/(x-8)>2have no sol...

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  9. Exhibit graphically the solution region of the following system of 'in...

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  10. Prove that the product of the lengths of the perpendiculars drawn from...

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  11. Find the equation of a circle which touches both the axes and the line...

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  12. The focus of a parabola is (1,5)and its directrix is x+y+2=0.Find the...

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  13. 3(1-x) lt 2(x+4)

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  14. Prove that every function can be expressed as the sum of an -even and ...

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  15. A,B,C are three finite sets such that n(A)=17,n(B)=13,n(C)=15,n(AcapB)...

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  16. Draw the graph of f(x)=|x-1|+|x-2|.

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  17. Whats is the probability of arrangement of the letters of the word SOC...

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  18. The mean and standard deviation of 100 observations were calculated as...

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  19. Prove that tan6^@tan42^@tan66^@tan78^@=1

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  20. Solve :cos3x+cos2x=sin((3x)/2)+sin(x/2), (0lexlepi)

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