Find the Quadrant of the Angle pi/4

Problem

π/4

Solution

1. Identify the value of the angle in radians. The given angle is θ=π/4

2. Convert the angle to degrees if necessary to visualize its position. Since π radians is 180 we calculate 180/4=45

3. Determine the boundaries of the quadrants in the coordinate plane. Quadrant I contains angles between 0 and π/2 radians (0 and 90.

4. Compare the given angle to the quadrant boundaries. Since 0<π/4<π/2 the angle lies within the first quadrant.

Final Answer

π/4∈Quadrant I

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