Solve for x x=(7pi)/4

Problem

x=(7*π)/4

Solution

1. Identify the angle in radians. The given value is x=(7*π)/4

2. Determine the quadrant of the angle. Since (3*π)/2<(7*π)/4<2*π the angle is located in the fourth quadrant.

3. Calculate the reference angle. The reference angle (θ_R) for an angle in the fourth quadrant is found by subtracting the angle from 2*π

4. Subtract the values to find the reference angle.

2*π−(7*π)/4=(8*π)/4−(7*π)/4

(θ_R)=π/4

5. Convert to degrees if necessary. To convert radians to degrees, multiply by 180/π

(7*π)/4⋅180/π=7⋅45

x=315

Final Answer

x=(7*π)/4=315

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