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Trigonometry Examples
Step 1
Step 1.1
Find the point at .
Step 1.1.1
Replace the variable with in the expression.
Step 1.1.2
Simplify the result.
Step 1.1.2.1
Simplify the numerator.
Step 1.1.2.1.1
The exact value of is .
Step 1.1.2.1.2
Combine exponents.
Step 1.1.2.1.2.1
Factor out negative.
Step 1.1.2.1.2.2
Combine and .
Step 1.1.2.2
Multiply the numerator by the reciprocal of the denominator.
Step 1.1.2.3
Multiply .
Step 1.1.2.3.1
Multiply by .
Step 1.1.2.3.2
Multiply by .
Step 1.1.2.4
The final answer is .
Step 1.2
Find the point at .
Step 1.2.1
Replace the variable with in the expression.
Step 1.2.2
Simplify the result.
Step 1.2.2.1
Simplify the numerator.
Step 1.2.2.1.1
The exact value of is .
Step 1.2.2.1.2
Combine exponents.
Step 1.2.2.1.2.1
Factor out negative.
Step 1.2.2.1.2.2
Combine and .
Step 1.2.2.1.3
Reduce the expression by cancelling the common factors.
Step 1.2.2.1.3.1
Factor out of .
Step 1.2.2.1.3.2
Factor out of .
Step 1.2.2.1.3.3
Cancel the common factor.
Step 1.2.2.1.3.4
Rewrite the expression.
Step 1.2.2.2
Multiply the numerator by the reciprocal of the denominator.
Step 1.2.2.3
Multiply .
Step 1.2.2.3.1
Multiply by .
Step 1.2.2.3.2
Multiply by .
Step 1.2.2.4
The final answer is .
Step 1.3
Find the point at .
Step 1.3.1
Replace the variable with in the expression.
Step 1.3.2
Simplify the result.
Step 1.3.2.1
The exact value of is .
Step 1.3.2.2
Multiply by .
Step 1.3.2.3
Divide by .
Step 1.3.2.4
The final answer is .
Step 1.4
Find the point at .
Step 1.4.1
Replace the variable with in the expression.
Step 1.4.2
Simplify the result.
Step 1.4.2.1
The exact value of is .
Step 1.4.2.2
Combine and .
Step 1.4.2.3
Reduce the expression by cancelling the common factors.
Step 1.4.2.3.1
Factor out of .
Step 1.4.2.3.2
Factor out of .
Step 1.4.2.3.3
Cancel the common factor.
Step 1.4.2.3.4
Rewrite the expression.
Step 1.4.2.4
Multiply the numerator by the reciprocal of the denominator.
Step 1.4.2.5
Multiply .
Step 1.4.2.5.1
Multiply by .
Step 1.4.2.5.2
Multiply by .
Step 1.4.2.6
The final answer is .
Step 1.5
Find the point at .
Step 1.5.1
Replace the variable with in the expression.
Step 1.5.2
Simplify the result.
Step 1.5.2.1
The exact value of is .
Step 1.5.2.2
Combine and .
Step 1.5.2.3
Multiply the numerator by the reciprocal of the denominator.
Step 1.5.2.4
Multiply .
Step 1.5.2.4.1
Multiply by .
Step 1.5.2.4.2
Multiply by .
Step 1.5.2.5
The final answer is .
Step 1.6
List the points in a table.
Step 2
The trig function can be graphed using the points.
Step 3