Find an angle hetaθ coterminal to -974^{\circ}−974 ∘ , where 0^{\circ}\le heta

Question

Find an angle 	hetaθ coterminal to -974^{\circ}−974  ∘  , where 0^{\circ}\le	heta<360^{\circ}0  ∘  ≤θ<360  ∘  .

James C. · Accepted Answer

To find coterminal angles when given a negative angle, add 360 degrees to the given angle until you get an angle between 0 and 360.

=974 + 360 = -614

-614 + 360 = -254

-254 + 360 - 106.

So the coterminal angle is 106 degrees.

You could also add multiples of 360 to save time.

Find an angle \thetaθ coterminal to -974^{\circ}−974 ∘ , where 0^{\circ}\le\theta<360^{\circ}0 ∘ ≤θ<360 ∘ .