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Trigonometry Examples
Step 1
Replace the with based on the identity.
Step 2
Multiply by .
Step 3
Step 3.1
Simplify .
Step 3.1.1
Apply pythagorean identity.
Step 3.1.2
Factor out of .
Step 3.1.2.1
Multiply by .
Step 3.1.2.2
Factor out of .
Step 3.1.2.3
Factor out of .
Step 3.1.3
Rearrange terms.
Step 3.1.4
Apply pythagorean identity.
Step 3.1.5
Rewrite in terms of sines and cosines.
Step 3.1.6
Simplify the expression.
Step 3.1.6.1
Apply the product rule to .
Step 3.1.6.2
One to any power is one.
Step 3.1.7
Cancel the common factor of .
Step 3.1.7.1
Cancel the common factor.
Step 3.1.7.2
Rewrite the expression.
Step 4
Since , the equation will always be true for any value of .
All real numbers
Step 5
The result can be shown in multiple forms.
All real numbers
Interval Notation: