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If tan (theta/2)=tan^3 (phi/2)and tanphi...

If `tan (theta/2)=tan^3 (phi/2)`and `tanphi=2tanalpha`,then prove that `theta+phi=2alpha`

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 13-EXERCISE
  1. Find the mean deviation of 36, 72, 46,60, 42, 45, 53. 46, 51, 49.

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

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  3. If tan (theta/2)=tan^3 (phi/2)and tanphi=2tanalpha,then prove that the...

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  4. In a triangle ABC if a cos^2(C/2)+c cos^2(A/2)=((3b)/2)show that sides...

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  5. Prove that by mathematical induction : 3^(2n+ 2) - 8n - 9 is divisible...

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  6. If x=a+b,y=aw+bw^2,z=aw^2+bw,show that xyz=a^3+b^3

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  7. if the ratio of the sum of n terms of two A Ps is (3n + 5) : (5n - 9)...

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  8. The coefficient of three consecutive terms in the expansion of (1+x)^n...

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  9. Show that the straight line (a + 2b) x + (a -3b)y + b -a = 0 always p...

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  10. Find the equations of straight line which are perpendicular to the str...

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  11. y = 2x is a chord of the circle x^2 + y^2 -10 x = 0. Find the equation...

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  12. Find the ratio in which the plane 2x + 2y - 2z = 1 divides the line se...

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  13. Evaluate :lim(xrarroo)[(1^(1//x)+2^(1//x)+3^(1//x))/3]

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  14. Differentiate x^(-2/3) with respect to x, with behalf of definition.

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  15. Prove that sqrt3is irrational, (use the method of contradiction)

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  16. If x and y are odd integers, then xy is also an odd integer r examine ...

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  17. The probability of occurrence of at least one event of two events X an...

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  18. If the co-efficient of variation of two frequeny distribution are 58% ...

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  19. Prove that (sec8theta-1)/(sec4theta-1)=(tan8theta)/(tan2theta)

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  20. In /\ABC,Prove that a cos A + b cos B + c cos C = 2a sin B sin C

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