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If cos alpha = k cos beta Show that tan ...

If `cos alpha = k cos beta` Show that `tan ((alpha+beta)/2)=(1-k)/(1+k)cot((alpha-beta)/2)`

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 4-EXERCISE
  1. There are four letters and four envelops with proper address. Find the...

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  2. For any three sets A, B, C. prove that A xx (B cup C)=" (A xx B) cup(A...

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  3. If cos alpha = k cos beta Show that tan ((alpha+beta)/2)=(1-k)/(1+k)co...

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  4. Solve : sectheta-1=(sqrt2-1)tantheta

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  5. Prove by mathematical induction.1/1.3+1/3.5+1/5.7+....+1/((2n-1)(2n+1)...

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  6. How many different arragements of the letters of the word ALGEBRA can ...

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  7. If the sum of the n term of an AP is n^2 + 2n . which, term will ...

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  8. If z=x+iy and (z-i)/(z+1)is purely imaginary,then show that the point ...

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  9. The equation of the two adjacent sides of a parallelogram are 4x+ 5y =...

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  10. In a rectangle, the co-ordinates of the end point of a diagonal are (2...

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  11. If the straight line dx + cy = cd is perpendicular the line joining th...

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  12. Find the equation of a circle which passes through (0, -3) and (3, -4)...

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  13. Evaluate:lim(xrarr0)(sqrt(1+x^2)-sqrt(1+x))/(sqrt(1+x^3)-sqrt(1+x))

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  14. If f(x)=x|x|,prove that f'(x)=2|x|.

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  15. ‘If x is a whole number and x^2 is even, then x is also an even number...

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  16. ‘If a and b are two odd integer, then (a + b) is an even intege.”—exam...

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  17. One cord is drawn at random a pack of 52 c’ards..Find the probability ...

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  18. Find the mean and variance for the following frequency distributions i...

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  19. Solve : 2cos^2 2thetacos5theta+2=sin^2theta,theta in R.

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  20. If 1/(^5Cr)+1/(^6Cr)+1/(~^4Cr)find the value of r.

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