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Find the modulus and amplitude of z="s...

Find the modulus and amplitude of
`z="sin" (6pi)/(5)+I (1+"cos" (6pi)/(5))`

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Verified by Experts

The correct Answer is:
`|z|-(sqrt(5)-1)/(2) and amp z=(pi)/(10)`
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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-ALGEBRA
  1. Find the modulus and ampltidue of the complex in numberz=(-2-i2 sqrt(3...

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  2. Find the amplitude of z=1+i "tan" (3pi)/(5)

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  3. Find the modulus and amplitude of z="sin" (6pi)/(5)+I (1+"cos" (6pi)...

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  4. There are m A.P. Whose common differences are 1,2,3,.. M respectively...

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  5. If S(1),S(2),S(3),...S(m) be the sum of first n terms of n A.P. Whose...

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  6. Show that the sum of the numbers in the n th bracket of the series (1)...

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  7. Show that the following two A.P. is have 14 common terms 3,7,11,15...,...

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  8. Show that there are 17 identical terms in the following two A.P. 2,5,8...

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  9. Find the n th term and the sum of first n terms of thefollowing sequen...

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  10. Solve |x^(2)+4x+3|+2x+5=0

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  11. For a gt0, determine all the roots of the equations x^(2)-2a|x-a|-3a...

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  12. How many five -digit numbers divisible by 3 can do formed using the d...

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  13. How many five-digit telephone numbers with pairwise distinct digits ca...

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  14. Five speakers A,B,C,D and E will speark at a meeting. In how many ways...

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  15. If z(1)=3i and z(2)=-1-i , where i=sqrt(-1) find the value of arg ((z(...

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  16. Show that the number of solutions of equations |x|^(2)-3|x|+2=0 is 4.

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  17. Show that (1)/(2)[(x-y)^(4)+(y-z)^(4)+(z-x)^(4)] is perfect square.

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  18. In an arithmetic progression of n terms ( n is even) , the two middle ...

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  19. In an A.P. fo n terms (n is even), the two middle terms are (alpha- be...

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  20. Prove that the ineuations (2x+1)/(7x-1) gt 5 and (x+7)/(x-8)gt2 have n...

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