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If x + iy = (1)/((1 + cos theta + isin t...

If `x + iy = (1)/((1 + cos theta + isin theta))` then `sin^(-1) x = `

A

`(pi)/(3)`

B

`(pi)/(4)`

C

`(pi)/(6)`

D

`(pi)/(2)`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-COMPLEX NUMBERS-PRACTICE EXERCISE
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  3. If x + iy = (1)/((1 + cos theta + isin theta)) then sin^(-1) x =

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  4. The real value of theta for which the expression (1 -isin theta)/(1 + ...

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  7. If z = 3- 5i then z^(2) - 10z + 30=

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  8. If theta is real then the modulus of (1)/(1 + cos theta + isin theta) ...

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  9. If (x + iy)^((1)/(3)) = 5+ 3i , then 3x + 5y =

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  10. If alpha is a non-real root of x^(7) = 1 then alpha(1 + alpha) (1 + al...

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  11. Express (3- 2i)/(5 + 4i) + (3 + 2i)/(5 - 4i) in the form of a + ib

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  12. The conjugate of (2 + 3i)/(1 + 2i) is

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  13. If (2 - i)/((1 - 2i)^(2)) and (-(x + 11i))/(25) are conjugate complex ...

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  14. The modulus of ((3 + i) (2 - i))/(1 +i) is

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  15. If x -iy = sqrt([(a - ib)/(c-id)]) , then (x^(2) + y^(2))^(2) =

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  16. If m1,m2,m3 and m4 respectively denote the moduli of the complex numbe...

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  17. The mod-amplitude form of -sqrt3 - i

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  18. The mod-amplitude form of sin theta + icos theta is

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  19. If (pi)/(2) lt alpha (3pi)/(2) , the modulus argument form of (1 + cos...

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  20. If (pi)/(5) and (pi)/(3) are respectively the arguments of barz(1) and...

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