The angles in quadrant one measure between 0 degrees and 90 degrees. In radians, that's between 0 and pi/2. Quadrant one is the quadrant where both X and Y (or cosine theta and sine theta) are positive.
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Quadrant angles are angles formed in the coordinate plane by the x-axis and y-axis. Each quadrant is a region bounded by the x-axis and y-axis, and is numbered counterclockwise starting from the positive x-axis. The angles in each quadrant have specific characteristics based on their trigonometric ratios, such as sine, cosine, and tangent values. In trigonometry, understanding quadrant angles is crucial for determining the sign of trigonometric functions and solving equations involving angles.
Third quadrant. From the origin (0,0) and on the positive x-axis. Move an arrow/line clockwise from this axis by 135 degrees. The first 90 degrees are in the bottom right (4th)quandrant. The next 90 degrees(to 180 degrees ; includes 135) will be in the bottom left (3rd) quadrant. NB From the positive x-axis ,moving anti-clockwise about the origin the angles are positive. When moving clockwise from the same axis the angles are negative.
The value of tan and sin is positive so you must search quadrant that tan and sin value is positive. The only quadrant fill that qualification is Quadrant 1.
They use it to measure angles and lengths
Quadrant II