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Trigonometry Examples
Step 1
Simplify by moving inside the logarithm.
Step 2
For the equation to be equal, the argument of the logarithms on both sides of the equation must be equal.
Step 3
Step 3.1
Simplify the right side.
Step 3.1.1
Simplify .
Step 3.1.1.1
Rewrite the expression using the negative exponent rule .
Step 3.1.1.2
Rewrite in terms of sines and cosines.
Step 3.1.1.3
Multiply by the reciprocal of the fraction to divide by .
Step 3.1.1.4
Convert from to .
Step 3.2
For the two functions to be equal, the arguments of each must be equal.
Step 3.3
Move all terms containing to the left side of the equation.
Step 3.3.1
Subtract from both sides of the equation.
Step 3.3.2
Subtract from .
Step 3.4
Since , the equation will always be true for any value of .
All real numbers
All real numbers
Step 4
The result can be shown in multiple forms.
All real numbers
Interval Notation: