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Find the general value of x if the expre...

Find the general value of x if the expression `(sin ""(x)/(2) + cos"" (x)/(2) + itan x)/( 1 + 2isin "" (x)/(2))` is real .

A

`npi" or " npipi/4`

B

`2npi" or " npipi/4`

C

`npi" or " npipi/2`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
  1. A value of theta for which (2+3isintheta)/(1-2isintheta) is purely ima...

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  2. If (tanalpha-i[sin(alpha//2)+cos(alpha//2)])/(1+2isin(alpha//2)) is pu...

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  3. Find the general value of x if the expression (sin ""(x)/(2) + cos"" (...

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  4. The principal value of the argument -sqrt(3)+i is

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  5. The amplitude of 1+costheta+isintheta is

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  6. The amplitude of (1+sqrt(3)i)/(sqrt(3)+i) is

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  7. If pi//5 and pi//3 are the arguments of barz1 and z2 then the value of...

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  8. If pi//3 and pi//4 are the arguments of z1 and barz2 then the value of...

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  9. If 2pi//3 and pi//6 are the arguments of barz1 and z2 then value of ar...

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  10. z=1+isqrt(3)rArr|Arg z|+|Argbarz|=

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  11. If z1 and z2 are two non - zero complex numbers such that |z1+z2|=|z1|...

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  12. If z1 and z2 are two non - zero complex numbers such that |z1+z2|=|z1-...

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  13. If z is a complex number of unit modulus and argument theta then, arg ...

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  14. Let z,w be complex number such that barz+ibarw=0 and arg zw =pi . Then...

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  15. If z and omega are two nonzero complex numbers such that |zomega|=1 an...

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  16. If omega(ne1) is a cube root of unity , and (1+omega)^7=A+Bomega . The...

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  17. The polar form of 1+sqrt(3)i is

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  18. The mod -amplitude form of sqrt(3)-i is

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  19. The mod -amplitude form of -sqrt(3)-i is

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  20. The mod -amplitude form of 1-sqrt(3)i

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