Transformed circular functions
Chapter 100 of 34 strong
RESTS ONObtain exact sine, cosine and tangent values for the standard first-quadrant angles, their symmetric points and axis boundariesCH 9Convert an angle between degrees and radians, keeping an exact rational multiple of π where available and distinguishing a degree label from an unlabelled radian valueCH 9RoundingCH 3Signed numbersCH 2Solve a one-step linear equationFOUNDATIONSMultiplication and divisionCH 2Solve equations with unknowns on both sides by collecting them onto one sideCH 1Obtain tan θ = y/x from a unit-circle point and recognise that tangent is undefined when x = 0CH 9Write a linear model from a description with signed intercept and rateCH 1Name each side of a right-angled triangle relative to a marked angleCH 9Simplify a fractionCH 2Substitute known values into a formula and evaluate it correctlyCH 1Highest common factorCH 2Recognise and factor a difference of two squares, a perfect-square trinomial, and a sum or difference of two cubes, with the correct sign patternCH 2Use the terminal point (x, y) on the unit circle to obtain cos θ = x and sin θ = y, or recover the coordinate pair from known sine and cosine valuesCH 9Reduce an extended positive or negative rotation and identify its quadrant or axis boundaryCH 9
Circular equations over finite domains
Sine and cosine transformations
Tangent transformations
Periodic sine and cosine models
Trigonometric identities and quadrants