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

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

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Prove the following : (sin 5x + sin3x)/(cos 5x + cos 3x)= tan 4x .

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JBD PUBLICATION-MODEL PAPER (6)-EXERCISE
  1. The number of elements in a sample space, when a die rolled twice are

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  2. Prove that: sin18^@=(sqrt5-1)/4

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

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  4. Find the multiplicative inverse of 7-2i.

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  5. Find the middle terms in the expansion of (x/3+ ay)^(10)

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  6. Find the term independent of x in the expansion of (x^2+1/x)^9.

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  7. Find the co-ordinates of the centroid of the triangle whose vertices a...

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  8. Find out which of the following sentences are statements and which are...

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  9. Find out which of the following sentences are statements and which are...

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  10. Write the converse of the following statements. If a number x is even,...

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  11. Write the converse of the following statements. If you do all the exer...

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  12. Find the (a) union (b) intersection of the following pair of sets : ...

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  13. Find the domain and range of sqrt(9-x^2).

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  14. Find the general solution of sin x + sin 5x = sin 2 x + sin 4 x .

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  15. Prove by the principle of mathematical induction 10^(2n-1)+1 is divisi...

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  16. If .^(n+1)C(r+1):^(n)C(r):^(n-1)C(r-1)=11:6:3, find the values of n an...

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  17. In how many ways can the letters of the word PERMUTATIONS be arranged ...

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  18. In how many ways can the letters of the word PERMUTATIONS be arranged ...

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  19. Insert five numbers between 8 and 26 such that the resulting sequence ...

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  20. If A and G be A.M. and G.M., respectively between two positive numbers...

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