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Sia 🤖 4 days, 20 hours ago
Let a complex number (z) = 1/1+i
now,
z = 1/2 -i/2
so real part of z = x = 1/2
Imaginary part of z = y = 1/2
∴
Argument = tan⁻¹(y/x)
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Sia 🤖 2 weeks ago
Let {tex}\theta{/tex} be the angle of inclination of the given line with the positive direction of the x-axis in anticlockwise sense.
Then, its slope is given by m = tan {tex}\theta{/tex}.
If the slope of the line is negative, then
slope = m = tan {tex}\theta{/tex} < 0
{tex}\Rightarrow{/tex} {tex}\theta{/tex} lies between 90° and 180°
{tex}\Rightarrow{/tex} {tex}\theta{/tex} is an obtuse angle.
Therefore, a line of negative slope makes an obtuse angle with the positive direction of x-axis in anticlockwise direction.
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Preeti Dabral a minute ago
A simple sentence consists of only one clause. A compound sentence consists of two or more independent clauses. A complex sentence has at least one independent clause plus at least one dependent clause. A set of words with no independent clause may be an incomplete sentence, also called a sentence fragment.
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