0000:00:00:00:00Start39Number 39ExplanationIf 3cosθ−sinθ3 \cos \theta - \sin \theta3cosθ−sinθ is expressed in the form rsin(θ+α)r \sin(\theta + \alpha)rsin(θ+α) with r>0r > 0r>0 and 0°<α<360°0° < \alpha < 360°0°<α<360°, then....r=8r = \sqrt{8}r=8, angle α\alphaα is in quadrant II\text{II}II or IV\text{IV}IVr=8r = \sqrt{8}r=8, angle α\alphaα is in quadrant II\text{II}IIr=10r = \sqrt{10}r=10, angle α\alphaα is in quadrant II\text{II}II or IV\text{IV}IVr=10r = \sqrt{10}r=10, angle α\alphaα is in quadrant II\text{II}IIr=3r = 3r=3, angle α\alphaα is in quadrant IV\text{IV}IV
39Number 39ExplanationIf 3cosθ−sinθ3 \cos \theta - \sin \theta3cosθ−sinθ is expressed in the form rsin(θ+α)r \sin(\theta + \alpha)rsin(θ+α) with r>0r > 0r>0 and 0°<α<360°0° < \alpha < 360°0°<α<360°, then....r=8r = \sqrt{8}r=8, angle α\alphaα is in quadrant II\text{II}II or IV\text{IV}IVr=8r = \sqrt{8}r=8, angle α\alphaα is in quadrant II\text{II}IIr=10r = \sqrt{10}r=10, angle α\alphaα is in quadrant II\text{II}II or IV\text{IV}IVr=10r = \sqrt{10}r=10, angle α\alphaα is in quadrant II\text{II}IIr=3r = 3r=3, angle α\alphaα is in quadrant IV\text{IV}IV