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Trigonometry Examples
Step 1
Step 1.1
Replace the variable with in the expression.
Step 1.2
Simplify the result.
Step 1.2.1
Simplify each term.
Step 1.2.1.1
Raising to any positive power yields .
Step 1.2.1.2
Divide by .
Step 1.2.1.3
Multiply by .
Step 1.2.2
Add and .
Step 1.2.3
The final answer is .
Step 1.3
Convert to decimal.
Step 2
Step 2.1
Replace the variable with in the expression.
Step 2.2
Simplify the result.
Step 2.2.1
Simplify each term.
Step 2.2.1.1
Raise to the power of .
Step 2.2.1.2
Cancel the common factor of and .
Step 2.2.1.2.1
Factor out of .
Step 2.2.1.2.2
Cancel the common factors.
Step 2.2.1.2.2.1
Factor out of .
Step 2.2.1.2.2.2
Cancel the common factor.
Step 2.2.1.2.2.3
Rewrite the expression.
Step 2.2.1.3
Move the negative in front of the fraction.
Step 2.2.1.4
Multiply .
Step 2.2.1.4.1
Multiply by .
Step 2.2.1.4.2
Multiply by .
Step 2.2.2
To write as a fraction with a common denominator, multiply by .
Step 2.2.3
Combine and .
Step 2.2.4
Combine the numerators over the common denominator.
Step 2.2.5
Simplify the numerator.
Step 2.2.5.1
Multiply by .
Step 2.2.5.2
Add and .
Step 2.2.6
Move the negative in front of the fraction.
Step 2.2.7
The final answer is .
Step 2.3
Convert to decimal.
Step 3
Step 3.1
Replace the variable with in the expression.
Step 3.2
Simplify the result.
Step 3.2.1
Simplify each term.
Step 3.2.1.1
Raise to the power of .
Step 3.2.1.2
Move the negative in front of the fraction.
Step 3.2.1.3
Multiply .
Step 3.2.1.3.1
Multiply by .
Step 3.2.1.3.2
Multiply by .
Step 3.2.2
To write as a fraction with a common denominator, multiply by .
Step 3.2.3
Combine and .
Step 3.2.4
Combine the numerators over the common denominator.
Step 3.2.5
Simplify the numerator.
Step 3.2.5.1
Multiply by .
Step 3.2.5.2
Add and .
Step 3.2.6
Move the negative in front of the fraction.
Step 3.2.7
The final answer is .
Step 3.3
Convert to decimal.
Step 4
Step 4.1
Replace the variable with in the expression.
Step 4.2
Simplify the result.
Step 4.2.1
One to any power is one.
Step 4.2.2
Simplify the expression.
Step 4.2.2.1
Write as a fraction with a common denominator.
Step 4.2.2.2
Combine the numerators over the common denominator.
Step 4.2.2.3
Subtract from .
Step 4.2.3
The final answer is .
Step 4.3
Convert to decimal.
Step 5
Step 5.1
Replace the variable with in the expression.
Step 5.2
Simplify the result.
Step 5.2.1
Simplify each term.
Step 5.2.1.1
Raise to the power of .
Step 5.2.1.2
Cancel the common factor of and .
Step 5.2.1.2.1
Factor out of .
Step 5.2.1.2.2
Cancel the common factors.
Step 5.2.1.2.2.1
Factor out of .
Step 5.2.1.2.2.2
Cancel the common factor.
Step 5.2.1.2.2.3
Rewrite the expression.
Step 5.2.2
To write as a fraction with a common denominator, multiply by .
Step 5.2.3
Combine and .
Step 5.2.4
Combine the numerators over the common denominator.
Step 5.2.5
Simplify the numerator.
Step 5.2.5.1
Multiply by .
Step 5.2.5.2
Subtract from .
Step 5.2.6
The final answer is .
Step 5.3
Convert to decimal.
Step 6
The cubic function can be graphed using the function behavior and the points.
Step 7
The cubic function can be graphed using the function behavior and the selected points.
Rises to the left and falls to the right
Step 8