Express the angle in radian measure.-135°- - -
Question
Express the angle in radian measure.-135°- - -
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Solution
To express the angle in radian measure, we need to convert it from degrees to radians.
Step 1: Convert the angle from degrees to radians using the conversion factor: 1 radian = π/180 degrees.
-135° * (π/180) = -135π/180 radians
Step 2: Simplify the expression if possible.
-135π/180 radians can be simplified by dividing both the numerator and denominator by the greatest common divisor, which is 45.
-135π/180 radians = -3π/4 radians
Therefore, the angle -135° is equivalent to -3π/4 radians.
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