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Question
The line OA makes an angle of θ=60° with the negative Y-axis as shown in the figure. Which of the following could be the measure of the angle made by OA with respect to +ve X-axis?
The line OA makes an angle of θ=60° with the negative Y-axis as shown in the figure. Which of the following could be the measure of the angle made by OA with respect to +ve X-axis?
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Solution
The correct options are
A
-30°
C
+330°
We can measuere the angle made by OA with X-axis in two directions, clockwise (φ) or anticlockwise (ϕ).
For measuring angle in clockwise direction, we see φ=−(90°−θ)=−(90°−60°)=−30°
Also, in anti-clockwise direction,
angle made
ϕ=270°+θ=270°+60°=330°
⇒−30° and +330° are the angles.
A
-30°
C
+330°
We can measuere the angle made by OA with X-axis in two directions, clockwise (φ) or anticlockwise (ϕ).For measuring angle in clockwise direction, we see φ=−(90°−θ)=−(90°−60°)=−30°
Also, in anti-clockwise direction,
angle made
ϕ=270°+θ=270°+60°=330°
⇒−30° and +330° are the angles.