Trigonometry Examples

Convert to Trigonometric Form (sec(t)-cos(t))/(sin(t))
Step 1
Rewrite in terms of sines and cosines.
Step 2
Convert from to .
Step 3
This is the trigonometric form of a complex number where is the modulus and is the angle created on the complex plane.
Step 4
The modulus of a complex number is the distance from the origin on the complex plane.
where
Step 5
Substitute the actual values of and .
Step 6
Find .
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Step 6.1
Raising to any positive power yields .
Step 6.2
Rewrite in terms of sines and cosines.
Step 6.3
Apply the product rule to .
Step 6.4
Add and .
Step 6.5
Rewrite as .
Step 6.6
Pull terms out from under the radical, assuming positive real numbers.
Step 6.7
Convert from to .
Step 7
The angle of the point on the complex plane is the inverse tangent of the complex portion over the real portion.
Step 8
Substitute the values of and .