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Trigonometry Examples
Step 1
Subtract from both sides of the equation.
Step 2
Step 2.1
Simplify each term.
Step 2.1.1
Rewrite as .
Step 2.1.2
Expand using the FOIL Method.
Step 2.1.2.1
Apply the distributive property.
Step 2.1.2.2
Apply the distributive property.
Step 2.1.2.3
Apply the distributive property.
Step 2.1.3
Simplify and combine like terms.
Step 2.1.3.1
Simplify each term.
Step 2.1.3.1.1
Multiply .
Step 2.1.3.1.1.1
Raise to the power of .
Step 2.1.3.1.1.2
Raise to the power of .
Step 2.1.3.1.1.3
Use the power rule to combine exponents.
Step 2.1.3.1.1.4
Add and .
Step 2.1.3.1.2
Multiply .
Step 2.1.3.1.2.1
Raise to the power of .
Step 2.1.3.1.2.2
Raise to the power of .
Step 2.1.3.1.2.3
Use the power rule to combine exponents.
Step 2.1.3.1.2.4
Add and .
Step 2.1.3.2
Reorder the factors of .
Step 2.1.3.3
Add and .
Step 2.1.4
Move .
Step 2.1.5
Apply pythagorean identity.
Step 2.1.6
Simplify each term.
Step 2.1.6.1
Reorder and .
Step 2.1.6.2
Reorder and .
Step 2.1.6.3
Apply the sine double-angle identity.
Step 2.1.7
Apply the distributive property.
Step 2.1.8
Multiply by .
Step 2.2
Combine the opposite terms in .
Step 2.2.1
Subtract from .
Step 2.2.2
Add and .
Step 3
Use the double-angle identity to transform to .
Step 4
Step 4.1
Subtract from both sides of the equation.
Step 4.2
Add to both sides of the equation.
Step 5
Step 5.1
Add and .
Step 6
Step 6.1
Add and .
Step 7
Since , the equation will always be true for any value of .
All real numbers
Step 8
The result can be shown in multiple forms.
All real numbers
Interval Notation: