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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
Divide by .
Step 1.1.2.2
The exact value of is .
Step 1.1.2.3
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
Multiply the numerator by the reciprocal of the denominator.
Step 1.2.2.2
Cancel the common factor of .
Step 1.2.2.2.1
Move the leading negative in into the numerator.
Step 1.2.2.2.2
Factor out of .
Step 1.2.2.2.3
Cancel the common factor.
Step 1.2.2.2.4
Rewrite the expression.
Step 1.2.2.3
Move the negative in front of the fraction.
Step 1.2.2.4
The exact value of is .
Step 1.2.2.5
Cancel the common factor of .
Step 1.2.2.5.1
Cancel the common factor.
Step 1.2.2.5.2
Rewrite the expression.
Step 1.2.2.6
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
Divide by .
Step 1.3.2.2
The exact value of is .
Step 1.3.2.3
Combine and .
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
Multiply the numerator by the reciprocal of the denominator.
Step 1.4.2.2
Cancel the common factor of .
Step 1.4.2.2.1
Cancel the common factor.
Step 1.4.2.2.2
Rewrite the expression.
Step 1.4.2.3
The exact value of is .
Step 1.4.2.4
Cancel the common factor of .
Step 1.4.2.4.1
Cancel the common factor.
Step 1.4.2.4.2
Rewrite the expression.
Step 1.4.2.5
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
Divide by .
Step 1.5.2.2
The exact value of is .
Step 1.5.2.3
Multiply by .
Step 1.5.2.4
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