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Prove the following: (sin5x + sin 3x)/(c...

Prove the following: `(sin5x + sin 3x)/(cos5x + cos3x)=tan4x`

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JBD PUBLICATION-MODEL PAPER (4)-EXERCISE
  1. underset(xrarrpi/2)lim (1-sinx)/(cosx) is equal to:

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  2. A die is rolled then the probability that a number 1 or 6 may appear i...

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  3. Prove the following: (sin5x + sin 3x)/(cos5x + cos3x)=tan4x

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  4. Find the principal solutions of cosx=-1/sqrt2.

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  5. Express (-2 - 1/3 i)^3 in the form of a + ib.

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  6. Prove that: sum(r=0)^(n) 3^( r) ""^(n)C(r) = 4^(n).

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  7. Using Binomial Theorem, evaluate each of the following:(99)^5.

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  8. Find the points on x-axis which are at a distance of sqrt29 units from...

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  9. Write the negation of the following statements p: all cats scratch.

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  10. Find the component statements of the following compound statements and...

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  11. Find the range of f(x)=3/(2-x^2).

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  12. Prove that:(1+sin2x-cos2x)/(1+sin2x+cos2x)=tanx

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  13. Find the general solution of the following equations: sin x + sin 3x +...

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  14. Find the general solution of the following equations: cos 3x + cosx- c...

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  15. Using principle of mathematical induction of prove that: 1+2+3+……….+n<...

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  16. Use principle of mathematical induction to prove that:1+2+3+……….+n=(n(...

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  17. Prove the following by using the principle of mathematical induction f...

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  18. Find n if "^(n-1)P3 : "^nP4 =1:9.

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  19. If m times the mth term is equal to n times the nth term of an A.P. pr...

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  20. Without using the pythagorus, show that the points (4, 4), (3, 5) and ...

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