The given angle is -49π/4.

Step 1: Find the Coterminal Angle
A coterminal angle is an angle that ends at the same position as the original angle. We can find a coterminal angle by adding or subtracting multiples of 2π (since a full rotation around the circle is 2π).

Since the given angle is negative, we will add multiples of 2π until we get an angle that is between 0 and 2π.

-49π/4 + 2πk = 0 (where k is an integer)

To find the smallest positive coterminal angle, we need to find the smallest value of k that makes the equation true.

-49π/4 + 2πk = 0
-49 + 8k = 0
8k = 49
k = 49/8
k = 6.125

Since k must be an integer, we round up to the nearest whole number, which is 7.

So, the smallest positive coterminal angle is -

Question

The given angle is -49π/4.

Step 1: Find the Coterminal Angle
A coterminal angle is an angle that ends at the same position as the original angle. We can find a coterminal angle by adding or subtracting multiples of 2π (since a full rotation around the circle is 2π).

Since the given angle is negative, we will add multiples of 2π until we get an angle that is between 0 and 2π.

-49π/4 + 2πk = 0 (where k is an integer)

To find the smallest positive coterminal angle, we need to find the smallest value of k that makes the equation true.

-49π/4 + 2πk = 0
-49 + 8k = 0
8k = 49
k = 49/8
k = 6.125

Since k must be an integer, we round up to the nearest whole number, which is 7.

So, the smallest positive coterminal angle is -

Knowee AI · Accepted Answer

The given angle is -49π/4.

Step 1: Find the Coterminal Angle
A coterminal angle is an angle that ends at the same position as the original angle. We can find a coterminal angle by adding or subtracting multiples of 2π (since a full rotation around the circle is 2π).

Since the given angle is negative, we will add multiples of 2π until we get an angle that is between 0 and 2π.

-49π/4 + 2πk = 0 (where k is an integer)

To find the smallest positive coterminal angle, we need to find the smallest value of k that makes the equation true.

-49π/4 + 2πk = 0
-49 + 8k = 0
8k = 49
k = 49/8
k = 6.125

Since k must be an integer, we round up to the nearest whole number, which is 7.

So, the smallest positive coterminal angle is -

For the rotation minus, start fraction, 9, pi, divided by, 4, end fraction− 49π , find the coterminal angle from 0, is less than or equal to, theta, is less than, 2, pi0≤θ<2π, the quadrant, and the reference angle.

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For the rotation minus, start fraction, 9, pi, divided by, 4, end fraction− 49π​ , find the coterminal angle from 0, is less than or equal to, theta, is less than, 2, pi0≤θ<2π, the quadrant, and the reference angle.

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Upgrade your grade with Knowee

For the rotation minus, start fraction, 9, pi, divided by, 4, end fraction− 49π , find the coterminal angle from 0, is less than or equal to, theta, is less than, 2, pi0≤θ<2π, the quadrant, and the reference angle.