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Prove the following: (sinx + sin3x)/(cos...

Prove the following: `(sinx + sin3x)/(cosx + cos3x)=tan 2x`

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JBD PUBLICATION-MODEL PAPER (2)-EXERCISE
  1. underset(xrarra)lim (x^n-a^n)/(x-a) is equal to:

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  2. One card is drawn from a pack of 52 cards. The probability that it is ...

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  3. Prove the following: (sinx + sin3x)/(cosx + cos3x)=tan 2x

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  4. In a circle of radius 21 cm, an arc subtends an angle of 60^@ at the c...

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  5. Represent the complex number z=1+sqrt3i in the polar form.

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  6. Find the 13th term in the expansion of (9x -1/(3sqrt(x)))^(18)

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  7. Find the 6th term in the expansion of (x+3)^9.

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  8. Verify that (0, 7, 10) , (-1,6,6) and (-4, 9,6) are the vertices of a ...

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  9. Write down the truth value (T or F) of the following statement: Every ...

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  10. Write down the truth value (T or F) of the following statement: Zero i...

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  11. Prove that sqrt5 irrational.

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  12. In a survey of 600 students in a school, 150 students were found to be...

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  13. The relation 'f' is defined by f(x)={(x^2,0lexle3), (3x, 3lexle10):} ...

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  14. Prove that: 2cos frac (pi)(13)cos frac (9pi)(13)+cos frac (3pi)(13)+co...

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  15. If sinx=-5/13 and x lies in IIIrd quadrant. Find the value of secx+tan...

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  16. Using mathematical induction , show that n(n+1)(n+5) is a multiple of...

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  17. Determine the number of 5 card combinations out of a deck of 52 cards ...

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  18. If 1/(6!)+1/(7!)=x/(8!), find x

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  19. Find the sum of all natural numbers lying between 100 and 1000, which ...

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  20. Find the sum of n terms of the following sequences: 8+88+888+……………..up...

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