[MACRO Academy] S3+4 E Maths Trigonometry Cheat Sheet

Hypotenuse Adjacent Opposite Rule Explanation Mathametical Example SOH Sine = Opposite / hypotenuse CAH CoSIne = adjacent / hypotenuse Toa Tangent = opposite / adjacent Trigonometry B C Horizontal Depression Sec 3 E Maths Key Ratios Reference Angle Angle of Elevation A Elevation O ‘Angle of Elevation’ ‘Angle of Depression’ From point O, the angle of elevation will be ∠ AOB From point O, the angle of depression will be ∠ COB Triangle Formulae Sine Rule Cosine Rule Area of Triangle If you need a miracle in E Math, text us at +65 8366 2396 www.macroacademy.org

Hypothenuse Trigonometry Adjacent Sec 3 E Maths Key Ratios Tangent = Opposite/Adjacent Sine Rule Cosine Rule Area of Triangle Degree-to-Radian conversionTriangle Formulas TOA CAH SOH Cosine = Adjacent/Hypothenuse Sine = Opposite/Hypothenuse Opposite From point O, the angle of elevation will be AOB From point O, the angle of depression will be COB O A B C Angle of Elevation/Depression Horizontal Depression Elevation

Trigonometry from point O, the angle of elevation will be AOB from point O, the angle of depression will be COB O A B C Angle of Elevation/Depression Horizontal Depression Elevation y = sin(x) Upper Sec Maths Obtuse Angles (in degrees) sin(180-x) = sin(x) cos(180-x) = cos(x) tan(180-x) = tan(x) sin(180+x) = -sin(x) cos(180+x) = -cos(x) tan(180+x) = tan(x) sin(360-x) = sin(-x) -sin(x) cos(360-x) = cos(-x) = cos(x) tan(360-x) = tan(-x) = -tan(x)

Trigonometry Hypothenuse Adjacent Upper Sec E Maths Key Ratios Important Identities tan(x) = sin(x)/cos(x) sec(x) = 1/cos(x) cosec(x) = 1/sin(x) cot(x) = 1/tan(x) sin(x) = cos(90-x) cos(x) = sin(90-x) Sine (sin) = Opposite/Hypothenuse Cosine (cos) = Adjacent/Hypothenuse Tangent (tan) = Opposite/Adjacent Double Angle Formula Sine Rule Key Addition/Subtraction Formulas Cosine Rule Area of Triangle Degree-to-Radian conversion Key Values Triangle Formulas

Trigonometry from point O, the angle of elevation will be AOB from point O, the angle of depression will be COB O A B C Angle of Elevation/Depression Horizontal Depression Elevation Graphs y = sin(x) y = cos(x) y = tan(x) Upper Sec Maths Obtuse Angles (in degrees) sin(180-x) = sin(x) cos(180-x) = cos(x) tan(180-x) = tan(x) sin(180+x) = -sin(x) cos(180+x) = -cos(x) tan(180+x) = tan(x) sin(360-x) = sin(-x) -sin(x) cos(360-x) = cos(-x) = cos(x) tan(360-x) = tan(-x) = -tan(x)