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Trigonometry Examples
Step 1
Step 1.1
Simplify terms.
Step 1.1.1
Simplify each term.
Step 1.1.1.1
Rewrite in terms of sines and cosines.
Step 1.1.1.2
Apply the product rule to .
Step 1.1.2
Rewrite as .
Step 1.2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 1.3
Convert from to .
Step 1.4
Convert from to .
Step 1.5
Expand using the FOIL Method.
Step 1.5.1
Apply the distributive property.
Step 1.5.2
Apply the distributive property.
Step 1.5.3
Apply the distributive property.
Step 1.6
Simplify terms.
Step 1.6.1
Combine the opposite terms in .
Step 1.6.1.1
Reorder the factors in the terms and .
Step 1.6.1.2
Add and .
Step 1.6.1.3
Add and .
Step 1.6.2
Simplify each term.
Step 1.6.2.1
Multiply .
Step 1.6.2.1.1
Raise to the power of .
Step 1.6.2.1.2
Raise to the power of .
Step 1.6.2.1.3
Use the power rule to combine exponents.
Step 1.6.2.1.4
Add and .
Step 1.6.2.2
Rewrite using the commutative property of multiplication.
Step 1.6.2.3
Multiply .
Step 1.6.2.3.1
Raise to the power of .
Step 1.6.2.3.2
Raise to the power of .
Step 1.6.2.3.3
Use the power rule to combine exponents.
Step 1.6.2.3.4
Add and .
Step 2
Graph each side of the equation. The solution is the x-value of the point of intersection.
Step 3
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Step 4