Find an angle between 0 and 2π that is coterminal with −3π10 .

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To find the coterminal angle of a given angle, we need to add or subtract 2\pi degree. If we have to find a negative coterminal angle, then in that case , we do subtraction but since here it is asked for a coterminal angle between 0 and 2 pi, so in this case we are searching for a positive coterminal angle and for that we have to add 2 \pi .

So the required coterminal angle is

-\frac{3 \pi}{10}+2 \pi = \frac{17 \pi}{10}

So the coterminal angle in 0 to 2\pi is \frac{17 \pi}{10} .

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step-by-step explanation:

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~