Knowledge organiser
Textbook chapter
PMT solutions
https://sites.google.com/view/mathematics-videos-geogebra/home/a-level-year-1/06-trigonometry
Y1 Pure 10.1
Angles in all four quadrants
Intro: sin(x), cos(x) & tan(x)
Y1 Pure 10.2
Exact values of trig ratios
Two triangles to derive from: equilateral (length 2) and isosceles (45 degrees)
Using the two triangles
Y1 Pure 10.3
Trig identities
Finding exact values of sin(x), cos(x) & tan(x)
Proving tanθ = sinθ / cosθ
Proving sin^2 θ + cos^2 θ = 1
+E5-03 (simplifying trig expressions)
Y1 Pure 10.4
Simple trig equations
Intro
Solve sin(x) = 1/2 between 0 and 360 degrees
+E7:03, 05 ( cos(x) & tan(x) )
Solving basic trigonometric equations in degrees
+E7:09-10,13,18
Y1 Pure 10.5
Harder trig equations
Solving equations that involve transformations
Solve sin(x + 65) = 0.7
between 0 and 360 degrees
+E7:23,25
Solve sin(2x) = 0.8
+E7:29,31,45-46,48
Solve sin(3x-54) = 0.25
between 180 and 540 degrees
Things to remember about
y = sin(x) and y = cos(x)
Solve cos(x + a) = sin(x)
+E7-48 ( sin(x - b) = cos(x) )
Y1 Pure 10.6
Equations and identities
Common error by dividing instead of factorising
+E7:35,37
Substituting rearranged trig identities
+E7:41,43
Proving trig identities
+E8-03