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Trigonometry Examples
Step 1
Step 1.1
Simplify each term.
Step 1.1.1
Apply pythagorean identity.
Step 1.1.2
Rewrite as .
Step 1.1.3
Rewrite in terms of sines and cosines.
Step 1.1.4
Rewrite in terms of sines and cosines.
Step 1.1.5
Multiply by the reciprocal of the fraction to divide by .
Step 1.1.6
Cancel the common factor of .
Step 1.1.6.1
Cancel the common factor.
Step 1.1.6.2
Rewrite the expression.
Step 1.1.7
Convert from to .
Step 1.2
Apply pythagorean identity.
Step 2
For the two functions to be equal, the arguments of each must be equal.
Step 3
Step 3.1
Subtract from both sides of the equation.
Step 3.2
Subtract from .
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: