8'2 The Trigonometric Functions

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8.2 The Trigonometric Functions
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Definitions of the Trigonometric Functions
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Definitions of the Trigonometric Functions
Circular Function Definition x is any angle in
standard position and (x,y) is a point on the
terminal ray of the angle.
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Trigonometric Reciprocal Identities
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Signs of the Trigonometric Functions
Quadrant II Quadrant I sin x
sin x cos x - cos x tan x
- tan x Quadrant
III Quadrant IV sin x - sin x - cos x
- cos x tan x tan x -
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Pythagorean Identities
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Double Angle Identities
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Reduction Formulas
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Sum or Difference of Two Angles
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Half Angle Identities
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8.4 Derivatives of Trigonometric Functions
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Derivative of Sine
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Derivative of Cosine
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Derivative of Tangent
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Derivative of Cotangent
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Derivative of Secant
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Derivative of Cosecant
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Derivatives of Trigonometric Functions
Note that each trigonometric function that begins
with a c has a negative sign in its
derivative.