Maths · Trigonometrical identities and trigonometrical functions
The terminal arm is in II quadrant, what are the measures of possible angles?
The terminal arm is in II quadrant, what are the measures of possible angles?
- A. In between \( 90^{\circ} \) and \( 180^{\circ} \) or \( -270^{\circ} \) and \( -180^{\circ} \)
- B. In between \( 180^{\circ} \) and \( 270^{\circ} \) or \( -90^{\circ} \) and \( -180^{\circ} \)
- C. In between \( -90^{\circ} \) and \( 0^{\circ} \) or \( 270^{\circ} \) and \( 360^{\circ} \)
- D. None of these
Step-by-step solution
In standard position, angles with terminal arm in Quadrant II have measures between 90° and 180° when measured counterclockwise. For negative angles (clockwise), the same quadrant corresponds to angles between -180° and -270° (since adding 360° gives 180° to 270°? Actually, -180° is 180° (boundary) and -270° is 90° (boundary), so the interval (-270°, -180°) when converted to positive by adding 360° gives (90°, 180°). Thus option A correctly lists both ranges.
Related MCQs
- The measures of the angles of a triangle are in the ratio The triangle is:…
- and Then is equal to…
- Two line segments and include an angle of where and Locate points and on and respectively such that and Join and and measure the length PQ.…
- If for all permissible values of then belongs to This question has multiple correct options…
- …