Reference angle of 2/15 pi

Add  

2

π

to  

−

15

π

2

.

−

15

π

2

+

2

π

The resulting angle of  

−

11

π

2

is coterminal with  

−

15

π

2

but isn't positive. Repeat the step.

−

11

π

2

Add  

2

π

to  

−

11

π

2

.

−

11

π

2

+

2

π

The resulting angle of  

−

7

π

2

is coterminal with  

−

15

π

2

but isn't positive. Repeat the step.

−

7

π

2

Add  

2

π

to  

−

7

π

2

.

−

7

π

2

+

2

π

The resulting angle of  

−

3

π

2

is coterminal with  

−

15

π

2

but isn't positive. Repeat the step.

−

3

π

2

Add  

2

π

to  

−

3

π

2

.

−

3

π

2

+

2

π

The resulting angle of  

π

2

is positive and coterminal with  

−

15

π

2

.

π

2

Step-by-step explanation:

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step-by-step explanation:

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