Trigonometry and measure of angles
Apply trig ratios, sine and cosine rules, and work with radians and trigonometric graphs.
Functions · MAV-11-04
Sub-topics
Trigonometry with acute angles
Use sine, cosine and tangent ratios to find unknown sides and angles in right-angled triangles; work with exact trig values for 30°, 45° and 60°; and solve multi-step problems involving bearings and angles of elevation and depression.
Non-right-angled triangles
Apply the sine rule and cosine rule to find unknown sides and angles in non-right-angled triangles, calculate triangle area using , and identify and solve the ambiguous case.
Trigonometry with any angle
Determine the sign of trigonometric ratios in each quadrant, evaluate ratios at multiples of 90°, and apply supplementary and reflection identities to find exact values for any angle.
Radians
Convert between degrees and radians, apply radian measure to find arc length and sector area, and calculate segment area in composite problems.