Trigonometry Examples

$7 π$

Step 1

Find an angle that is positive, less than $2 π$ , and coterminal with $7 π$ .

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Step 1.1

Subtract $2 π$ from $7 π$ .

$7 π - 2 π$

Step 1.2

The resulting angle of $5 π$ is positive, less than $2 π$ , and coterminal with $7 π$ .

$5 π$

Step 1.3

Subtract $2 π$ from $5 π$ .

$5 π - 2 π$

Step 1.4

The resulting angle of $3 π$ is positive, less than $2 π$ , and coterminal with $7 π$ .

$3 π$

Step 1.5

Subtract $2 π$ from $3 π$ .

$3 π - 2 π$

Step 1.6

The resulting angle of $π$ is positive, less than $2 π$ , and coterminal with $7 π$ .

$π$

Step 2

Since the angle $π$ is in the second quadrant, subtract $π$ from $π$ .

$π - π$

Step 3

Subtract $π$ from $π$ .

$0$