Trigonometry Examples

Convert to Trigonometric Form (cos(x)^2)/(1+sin(x))
Step 1
This is the trigonometric form of a complex number where is the modulus and is the angle created on the complex plane.
Step 2
The modulus of a complex number is the distance from the origin on the complex plane.
where
Step 3
Substitute the actual values of and .
Step 4
Find .
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Step 4.1
Raising to any positive power yields .
Step 4.2
Apply the product rule to .
Step 4.3
Multiply the exponents in .
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Step 4.3.1
Apply the power rule and multiply exponents, .
Step 4.3.2
Multiply by .
Step 4.4
Add and .
Step 4.5
Rewrite as .
Step 4.6
Rewrite as .
Step 4.7
Pull terms out from under the radical, assuming positive real numbers.
Step 5
The angle of the point on the complex plane is the inverse tangent of the complex portion over the real portion.
Step 6
Substitute the values of and .