If an angle (theta) in standard position has a measure of (frac{7pi}{6}) radians, find its supplement.

Question

Accepted Answer

Step:1 ：First, we know that the supplement of an angle (theta) is (pi - theta).Step:2 ：Substitute (frac{7pi}{6}) into the formula to get the supplementary angle, which gives us (pi - frac{7pi}{6} = frac{6pi}{6} - frac{7pi}{6} = -frac{pi}{6}).Step:3 ：However, an angle cannot be negative. Thus, we add (2pi) to the result, which gives us (-frac{pi}{6} + 2pi = frac{11pi}{6}).

Answer

Step: 1 ：First, we know that the supplement of an angle (theta) is (pi - theta).Step: 2 ：Substitute (frac{7pi}{6}) into the formula to get the supplementary angle, which gives us (pi - frac{7pi}{6} = frac{6pi}{6} - frac{7pi}{6} = -frac{pi}{6}).Step: 3 ：However, an angle cannot be negative. Thus, we add (2pi) to the result, which gives us (-frac{pi}{6} + 2pi = frac{11pi}{6}).

If an angle $θ$ in standard position has a measure of $\frac{7 π}{6}$ radians, find its supplement.

Answer

Popular Problems

If an angle θ in standard position has a measure of 7π6 radians, find its supplement.

Answer

Popular Problems

If an angle $θ$ in standard position has a measure of $\frac{7 π}{6}$ radians, find its supplement.