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Convert z= (i-1)/(cos frac (pi)(3)+i sin...

Convert `z= (i-1)/(cos frac (pi)(3)+i sin frac (pi)(3))` in polar form.

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Value of sin frac (31 pi)(3) is :

Prove that sin frac (pi)(14) sin frac (3 pi)(14) sin frac (5pi)(14) sin frac (7pi)(14)=1/8 .

Prove that : sin frac (pi)(5) sin frac (2pi)(5) sin frac (3pi)(5) sin frac (4pi)(5) =5/16 .

The value of : (1+cos frac (pi)(6)) (1+cos frac (pi)(3))(1+cos frac (2pi)(3)) (1+cos frac (7pi)(6)) is:

The smallest positive integral value of ‘n’ such that [(1+sin frac (pi)(8)+i cos frac (pi)(8))/(1+sin frac (pi)(8)-i cos frac (pi)(8))]^n is purely imaginary is n =

Prove that : (1+cos frac (pi)(8)) (1+cos frac (3pi)(8)) (1+cos frac (5pi)(8)) (1+cos frac (7pi)(8))=1/8 .

Prove that : 3 sin frac (pi)(6) sec frac (pi)(3)-4 sin frac (5pi)(6) cot frac(pi)(4)=1 .

Prove that sin frac (pi)(10)+ sin frac (13 pi)(10)=-1/2 .

Prove that : 3 cos^2 frac (pi)(4)+ sec frac (2 pi)(3)+ 5 tan^2 frac (pi)(3) = 29/2 .

Prove that: 2cos frac (pi)(13)cos frac (9pi)(13)+cos frac (3pi)(13)+cos frac (5pi)(13)=0

JBD PUBLICATION-MODEL PAPER (13)-EXERCISE
  1. Prove that:(tan^2 20- tan^2 theta)/(1- tan^2 20 tan^2 theta)=tan30 tan...

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  2. Prove, by Mathematical Induction, that for all n in N, 2.7^n+3.5^n-5...

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  3. How many different numbers between 100 and 1000 can be formed from the...

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  4. The ratio of the.A.M. and G.M. of two positive numbers a and b is m : ...

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  5. If the sum to infinity of the series 3+5r+7r^2+………is 44/9. Find r.

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  6. The line 2x-3y=4 is perpendicular bisector of the line AB. If the coor...

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  7. Find the equation of ellipse whose vertices are (pm13,0) and foci are ...

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  8. Find underset(xrarr1)lim f(x), where f(x)={(x^2-1, x le 1),(-x^2-1, x>...

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  9. Find the derivative of x^4-5 at x=10.

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  10. In a single throw of two dice, find the probability of total of 9 or I...

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  11. A bag contains 5 black and 3 white balls. Two balls are drawn at rando...

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  12. A bag contains 5 black and 3 white balls. Two balls are drawn at rando...

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  13. Convert z= (i-1)/(cos frac (pi)(3)+i sin frac (pi)(3)) in polar form.

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  14. Find the modulus and argument of the complex number (1+2 i)/(1- 3i)

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  15. Solve the following system of inequalities graphically: x + 2y le ...

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  16. In an experiment, a solution of a hydrochloric acid is to be kept betw...

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  17. Evaluate: underset(xrarrpi/4)lim (cosx-sinx)/(x-pi/4).

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  18. Find the derivative of sin(x+1) w.r.t. x

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  19. Find the variance and S.D of the following set of numbers: 25,50,45,30...

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  20. Find the mean deviation about the mean of the following data:

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