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Geometrical Representation of Conjugate of a Complex Number

Findfor ,x in...

Question

Find for , x in quadrant III

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Solution

Here, x is in quadrant III.

Therefore, and are negative, whereasis positive.

Now,

Thus, the respective values of are.

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Q. Find for , x in quadrant III

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

(i)

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(ii)

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(iii)

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

x in quadrant III

(iv)

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

x in quadrant I

sin \frac{x}{2}, cos \frac{x}{2}

tan \frac{x}{2}

cos x = - \frac{1}{3}, x

I I I .

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Q. For a given point P(x,y), in which quadrant the value of (x + y) is minimum?

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Geometrical Representation of Conjugate of a Complex Number

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