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Prove that sinx+siny+sinz-sin(x+y+z)=4si...

Prove that `sinx+siny+sinz-sin(x+y+z)=4sin((x+y)/2)sin((y+z)/2)sin((z+x)/2)`

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UNITED BOOK HOUSE-NAVA NALANDA-EXERCISE
  1. For any two sets, show that (A cap B) cup (A - B)= A.

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  2. Let X={0,-1,1,2,-2}and Y={0,1,2,3,4,6}f:XrarrYbe defined as f(x)=x^2+x...

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  3. Prove that sinx+siny+sinz-sin(x+y+z)=4sin((x+y)/2)sin((y+z)/2)sin((z+x...

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  4. Prove that sin (pi/14)sin((3pi)/14)sin((5pi)/14)=1/8

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  5. Solve :|z|=z+bar(1-2i)

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  6. In how many of the distinct permutaions of the letters in MISSISIPPI d...

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  7. Solve :x^2-(3sqrt2-2i)x-6sqrt2i=0

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  8. For any complex number z,prove that |Re(z)|+|Im(z)|le\sqrt 2 |z|

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  9. Find the direction in which a straight line must be drawn through the ...

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  10. Find the area of the triangle formed by the lines joingn the vertex of...

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  11. Find the domain of definition of the function f(x)=1/(ln(1-x))+sqrt(x+...

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  12. Prove that (AcupB)^c=A^c capB^c[without venn-diagram]

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  13. Four digit number are formed by using the digits 1,2,3,4 and 5 wihout ...

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  14. Find the mean deviation about the median for the following data:

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

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

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

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

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

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