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Geometrical Representation of Conjugate of a Complex Number

Findfor ,x in...

Question

Find for , 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. Find for , x in quadrant II

Q. , x in quadrant II

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

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

tan \frac{x}{2}

sin x = \frac{1}{4}, x

I I .

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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