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Trigonometry Examples
Step 1
Since is on the right side of the equation, switch the sides so it is on the left side of the equation.
Step 2
Step 2.1
Simplify each term.
Step 2.1.1
Apply the distributive property.
Step 2.1.2
Multiply by by adding the exponents.
Step 2.1.2.1
Move .
Step 2.1.2.2
Multiply by .
Step 2.1.3
Rewrite as .
Step 2.2
To write as a fraction with a common denominator, multiply by .
Step 2.3
Combine the numerators over the common denominator.
Step 2.4
Simplify the numerator.
Step 2.4.1
Apply the distributive property.
Step 2.4.2
Multiply by by adding the exponents.
Step 2.4.2.1
Move .
Step 2.4.2.2
Multiply by .
Step 2.4.2.2.1
Raise to the power of .
Step 2.4.2.2.2
Use the power rule to combine exponents.
Step 2.4.2.3
Add and .
Step 2.4.3
Multiply by .
Step 2.4.4
Multiply by .
Step 2.5
To write as a fraction with a common denominator, multiply by .
Step 2.6
Simplify terms.
Step 2.6.1
Combine and .
Step 2.6.2
Combine the numerators over the common denominator.
Step 2.7
Simplify the numerator.
Step 2.7.1
Apply the distributive property.
Step 2.7.2
Multiply by by adding the exponents.
Step 2.7.2.1
Move .
Step 2.7.2.2
Multiply by .
Step 2.7.3
Multiply .
Step 2.7.3.1
Multiply by .
Step 2.7.3.2
Multiply by .
Step 2.7.4
Multiply by .
Step 2.7.5
Subtract from .
Step 2.7.5.1
Move .
Step 2.7.5.2
Subtract from .
Step 2.8
Simplify with factoring out.
Step 2.8.1
Factor out of .
Step 2.8.2
Factor out of .
Step 2.8.3
Factor out of .
Step 2.8.4
Factor out of .
Step 2.8.5
Factor out of .
Step 2.8.6
Rewrite as .
Step 2.8.7
Factor out of .
Step 2.8.8
Simplify the expression.
Step 2.8.8.1
Rewrite as .
Step 2.8.8.2
Move the negative in front of the fraction.
Step 3
Step 3.1
Subtract from both sides of the equation.
Step 3.2
Add to both sides of the equation.
Step 3.3
To write as a fraction with a common denominator, multiply by .
Step 3.4
Combine and .
Step 3.5
Combine the numerators over the common denominator.
Step 3.6
Simplify the numerator.
Step 3.6.1
Apply the distributive property.
Step 3.6.2
Simplify.
Step 3.6.2.1
Multiply by .
Step 3.6.2.2
Multiply .
Step 3.6.2.2.1
Multiply by .
Step 3.6.2.2.2
Multiply by .
Step 3.6.2.3
Multiply by .
Step 3.6.2.4
Multiply by .
Step 3.6.3
Remove parentheses.
Step 3.6.4
Apply the distributive property.
Step 3.6.5
Rewrite using the commutative property of multiplication.
Step 3.6.6
Multiply by .
Step 3.6.7
Simplify each term.
Step 3.6.7.1
Multiply by by adding the exponents.
Step 3.6.7.1.1
Move .
Step 3.6.7.1.2
Multiply by .
Step 3.6.7.1.2.1
Raise to the power of .
Step 3.6.7.1.2.2
Use the power rule to combine exponents.
Step 3.6.7.1.3
Add and .
Step 3.6.7.2
Multiply by .
Step 3.7
To write as a fraction with a common denominator, multiply by .
Step 3.8
Combine the numerators over the common denominator.
Step 3.9
Simplify the numerator.
Step 3.9.1
Apply the distributive property.
Step 3.9.2
Rewrite using the commutative property of multiplication.
Step 3.9.3
Multiply by .
Step 3.9.4
Simplify each term.
Step 3.9.4.1
Multiply by by adding the exponents.
Step 3.9.4.1.1
Move .
Step 3.9.4.1.2
Multiply by .
Step 3.9.4.2
Multiply by .
Step 3.9.5
Add and .
Step 3.10
Factor out of .
Step 3.11
Factor out of .
Step 3.12
Factor out of .
Step 3.13
Factor out of .
Step 3.14
Factor out of .
Step 3.15
Rewrite as .
Step 3.16
Factor out of .
Step 3.17
Factor out of .
Step 3.18
Factor out of .
Step 3.19
Factor out of .
Step 3.20
Factor out of .
Step 3.21
Factor out of .
Step 3.22
Factor out of .
Step 3.23
Rewrite as .
Step 3.24
Move the negative in front of the fraction.