Enter a problem...
Trigonometry Examples
Step 1
Step 1.1
Subtract from both sides of the equation.
Step 1.2
Add to both sides of the equation.
Step 2
Step 2.1
Simplify each term.
Step 2.1.1
Rewrite in terms of sines and cosines.
Step 2.1.2
Rewrite in terms of sines and cosines.
Step 2.2
To write as a fraction with a common denominator, multiply by .
Step 2.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Step 2.3.1
Multiply by .
Step 2.3.2
Reorder the factors of .
Step 2.4
Combine the numerators over the common denominator.
Step 2.5
Simplify each term.
Step 2.5.1
Simplify the numerator.
Step 2.5.1.1
Multiply .
Step 2.5.1.1.1
Raise to the power of .
Step 2.5.1.1.2
Raise to the power of .
Step 2.5.1.1.3
Use the power rule to combine exponents.
Step 2.5.1.1.4
Add and .
Step 2.5.1.2
Move .
Step 2.5.1.3
Apply pythagorean identity.
Step 2.5.1.4
Subtract from .
Step 2.5.2
Cancel the common factor of and .
Step 2.5.2.1
Factor out of .
Step 2.5.2.2
Cancel the common factors.
Step 2.5.2.2.1
Factor out of .
Step 2.5.2.2.2
Cancel the common factor.
Step 2.5.2.2.3
Rewrite the expression.
Step 2.5.3
Move the negative in front of the fraction.
Step 2.6
Add and .
Step 3
Since , the equation will always be true for any value of .
All real numbers
Step 4
The result can be shown in multiple forms.
All real numbers
Interval Notation: