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Prove that cos^(2)+x+cos^(2) (x+pi/3)+co...

Prove that `cos^(2)+x+cos^(2) (x+pi/3)+cos^(2)(x-pi/3)=3/2` and hence find the values of `sin^(2)x +sin^(2) (x+pi/3)+sin^(2) (x-pi/3)`

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OSWAAL PUBLICATION-SOLVED PAPER 2020-1-EXERCISE
  1. A committee of two persons is selected from two men and two women. Wha...

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  2. A committee of two persons is selected from two men and two women. Wha...

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  3. A committee of two persons is selected from two men and two women.What...

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  4. If E and F are two events such that P(E)=1/4, P(E)=1/2 and P(E and F)=...

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  5. If E and F are two events such that P(E)=1/4, P(E)=1/2 and P(E and F)=...

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  6. Define a modulus function . Draw its graph. Also write down its domai...

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  7. 1^(2)+2^(2)+3^(2)+..........+n^(2)=(n(n+1)(2n+1))/(6)

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  8. Prove that cos^(2)+x+cos^(2) (x+pi/3)+cos^(2)(x-pi/3)=3/2 and hence fi...

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  9. Solve the following system of inequalities graphically x+2yle8,2x+yle8...

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  10. A group consists of 5 girls and 7 boys.In how many ways can a team of ...

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  11. A group consists of 4 girls and 7 boys. In how many ways can a team of...

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  12. State and prove Bionomial theorem for any positive integer n.

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  13. Derive the equation of a plane in normal form both in the vector and C...

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  14. Prove that lim(thetararr0)(sin theta)/(theta)=1.

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  15. Derive the formula to find the co-ordinates of a point which divide th...

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

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  17. (a)Derive geometrically that cos(x+y)=cos x cos y-sin x sin y.Hence de...

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  18. (b) Find the sum to n terms of the series 1 xx 2 xx 3 + 2 xx 3 xx 4 + ...

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  19. Derive the equation of the ellipse in the form (x^(2))/(a^(2))+(y^(2))...

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  20. (b) Find the derivative of (x^(5) - cos x)/(sin x) with respect to x.

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