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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
The absolute value is the distance between a number and zero. The distance between and is .
Step 1.2.2
Add and .
Step 1.2.3
Subtract from .
Step 1.2.4
Multiply by .
Step 1.2.5
Rewrite as .
Step 1.2.6
Multiply by zero.
Step 1.2.6.1
Pull terms out from under the radical, assuming positive real numbers.
Step 1.2.6.2
Multiply by .
Step 1.2.7
The final answer is .
Step 1.3
The value at is .
Step 2
Step 2.1
Replace the variable with in the expression.
Step 2.2
Simplify the result.
Step 2.2.1
The absolute value is the distance between a number and zero. The distance between and is .
Step 2.2.2
Add and .
Step 2.2.3
Subtract from .
Step 2.2.4
Multiply by .
Step 2.2.5
The final answer is .
Step 2.3
The value at is .
Step 3
Step 3.1
Replace the variable with in the expression.
Step 3.2
Simplify the result.
Step 3.2.1
The absolute value is the distance between a number and zero. The distance between and is .
Step 3.2.2
Add and .
Step 3.2.3
Subtract from .
Step 3.2.4
Multiply by .
Step 3.2.5
Rewrite as .
Step 3.2.6
Multiply by zero.
Step 3.2.6.1
Pull terms out from under the radical, assuming positive real numbers.
Step 3.2.6.2
Multiply by .
Step 3.2.7
The final answer is .
Step 3.3
The value at is .
Step 4
Step 4.1
Replace the variable with in the expression.
Step 4.2
Simplify the result.
Step 4.2.1
The absolute value is the distance between a number and zero. The distance between and is .
Step 4.2.2
Add and .
Step 4.2.3
Subtract from .
Step 4.2.4
Multiply by .
Step 4.2.5
The final answer is .
Step 4.3
The value at is .
Step 5
List the points to graph.
Step 6
Select a few points to graph.
Step 7