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Exact Values & Triangles
Trigonometric Identities
ASTC Rule
Trigonometric Graphs
Sine & Cosine Rules
Area of a Triangle
Trigonometric Equations
Sums and Differences of angles
Double Angles
Triple Angles
Half Angles
T formula
Subsidiary Angle formula
General Solutions of Trigonometric Equations
Radians
Arcs, Sectors, Segments
Trigonometric Limits
Differentiation of Trigonometric Functions
Integration of Trigonometric Functions
Integration of sin2x and cos2x
INVERSE TRIGNOMETRY
Inverse Sin Graph, Domain, Range, Properties
Inverse
Inverse Tan Graph, Domain, Range, Properties
Differentiation of Inverse Trigonometric Functions
Integration of Inverse Trigonometric Functions
Trigonometric Ratios
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Sine |
sin |
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Cosine |
cos |
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Tangent |
tan |
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Cosecant |
cosec |
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Secant |
sec |
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Cotangent |
cot |
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sin |
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cos |
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tan |
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cosec |
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60 seconds = 1 minute 60 = 1
60 minutes = 1 degree 60 = 1
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Exact Values & Triangles
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ASTC Rule
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First Quadrant: All positive |
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Second Quadrant: Sine positive |
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Third Quadrant: Tangent positive |
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Fourth Quadrant: Cosine positive |
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Trigonometric
Graphs
Sine Rule:
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Cosine Rule:
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Area of a Triangle
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C is the angle |
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Trigonometric Equations
Check the domain eg. 
Check degrees () or radians (
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If double angle, go 2 revolutions
If triple angle, go 3 revolutions, etc
If half angles, go half or one revolution (safe side)
Solve
sin θ = 
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Solve
cos 2θ = for
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Solve
tan
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Sums and Differences of angles
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Triple Angles
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Deriving the Triple Angles
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Normal double angle_ Expand double angle_ Multiply_ Change
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T Formulae
Let
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Using half angles Divide by 1
Divide
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Subsidiary Angle Formula
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Find
x. 
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General Solutions of Trigonometric Equations
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Then
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Then
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Then
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Arc Length |
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Area of Sector |
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Trigonometric Limits
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Integration of Trigonometric Functions
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Integration of sin2x and cos2x
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INVERSE TRIGNOMETRY
Inverse Sin Graph, Domain, Range, Properties
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Inverse
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Inverse Tan Graph, Domain, Range, Properties
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Differentiation of Inverse Trigonometric Functions
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Integration of Inverse Trigonometric Functions
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Vizualizari: 861
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© SCRIGROUP 2025 . All rights reserved
& 
are the two adjacent
sides
becomes tan
dx
dx
dx
dx
dx
dx
dx
dx
dx
dx
dx
dx
dx
