Angle in standard position

Angle in standard position

Basic Concepts: Cartesian plane, Draw on coordinate planes
Related Concepts: Converting between degrees and radians, Trigonometric ratios of angles in radians

Lessons

POSITIVE angle: counter-clockwise rotation starting at the x-axis.
NEGATIVE angle: clockwise rotation starting at the x-axis.
  • 1.
    Standard Angles
    i)
    Sketch each angle in standard position and indicate the terminal arm
    ii) Which quadrant does the angle terminate in?
    a)
    30°

    b)
    100°

    c)
    250°

    d)
    315°

    e)
    -60°

    f)
    -140°

    g)
    -570°

    h)
    -1000°

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10.
Trigonometry
10.1
Converting between degrees and radians
10.2
Radian measure and arc length
10.3
Angle in standard position
10.4
Coterminal angles
10.5
Reference angle
10.6
Find the exact value of trigonometric ratios
10.7
ASTC rule in trigonometry (All Students Take Calculus)
10.8
Unit circle
10.9
Trigonometric ratios for angles in radians
10.10
Solving first degree trigonometric equations
10.11
Determining non-permissible values for trig expressions
10.12
Use sine ratio to calculate angles and side (Sin = oh \frac{o}{h} )
10.13
Use cosine ratio to calculate angles and side (Cos = ah \frac{a}{h} )
10.14
Use tangent ratio to calculate angles and side (Tan = oa \frac{o}{a} )
10.15
Combination of SohCahToa questions
10.16
Law of sines
10.17
Law of cosines
10.18
Sine graph: y = sin x
10.19
Cosine graph: y = cos x
10.20
Tangent graph: y = tan x
10.21
Cotangent graph: y = cot x
10.22
Secant graph: y = sec x
10.23
Cosecant graph: y = csc x
10.24
Graphing transformations of trigonometric functions
10.25
Determining trigonometric functions given their graphs
10.26
Quotient identities and reciprocal identities
10.27
Pythagorean identities
10.28
Sum and difference identities
10.29
Double-angle identities
10.30
Word problems relating ladder in trigonometry
10.31
Word problems relating guy wire in trigonometry
10.32
Other word problems relating angles in trigonometry
Precalculus
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