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Geometrical Representation of Conjugate of a Complex Number

,xin quadrant...

Question

, x in quadrant II

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Solution

Here, x is in quadrant II.

Therefore,, and are all positive.

[cosx is negative in quadrant II]

Thus, the respective values of are.

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Q. , x in quadrant II

Q. If x < 0 and y > 0, then the point (x, y) lies in
(a) quadrant I
(b) quadrant II
(c) quadrant III
(d) quadrant IV

In the II Quadrant, x is __ and y is positive.

Find for , x in quadrant II

Q. Find the values of the other five trigonometric functions in each of the following:

(i)

\cot x = \frac{12}{5},

x in quadrant III

(ii)

\cos x = - \frac{1}{2},

x in quadrant II

(iii)

\tan x = \frac{3}{4},

x in quadrant III

(iv)

\sin x = \frac{3}{5},

x in quadrant I

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Geometrical Representation of Conjugate of a Complex Number

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