Find an angle thetaθ coterminal to minus, 349, degrees−349 ∘ , where 0, degrees, is less than or equal to, theta, is less than, 360, degrees0 ∘ ≤θ<360 ∘ .
Question
Find an angle thetaθ coterminal to minus, 349, degrees−349 ∘ , where 0, degrees, is less than or equal to, theta, is less than, 360, degrees0 ∘ ≤θ<360 ∘ .
Solution
To find an angle coterminal to -349 degrees in the range of 0 to 360 degrees, you can add 360 degrees to the given angle until you get an angle in the desired range.
Step 1: Add 360 degrees to -349 degrees. -349 degrees + 360 degrees = 11 degrees
So, the angle coterminal to -349 degrees, where 0 degrees ≤ theta < 360 degrees, is 11 degrees.
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