Trigonometry Examples

$1260$

Step 1

Find an angle that is positive, less than $360 °$ , and coterminal with $1260 °$ .

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Step 1.1

Subtract $360 °$ from $1260 °$ .

$1260 ° - 360 °$

Step 1.2

The resulting angle of $900 °$ is positive and coterminal with $1260 °$ but isn't less than $360 °$ . Repeat the step.

$900 °$

Step 1.3

Subtract $360 °$ from $900 °$ .

$900 ° - 360 °$

Step 1.4

The resulting angle of $540 °$ is positive and coterminal with $1260 °$ but isn't less than $360 °$ . Repeat the step.

$540 °$

Step 1.5

Subtract $360 °$ from $540 °$ .

$540 ° - 360 °$

Step 1.6

The resulting angle of $180 °$ is positive, less than $360 °$ , and coterminal with $1260 °$ .

$180 °$

Step 2

Since the angle $180 °$ is in the second quadrant, subtract $180 °$ from $180 °$ .

$180 ° - 180 °$

Step 3

Subtract $180$ from $180$ .

$0 °$