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CIRCULAR FUNCTIONS (TRANSLATION AND STRETCHES OF TRIGONOMETRIC FUNCTIONS,…
CIRCULAR FUNCTIONS
UNIT CIRCLE
- A circle with the radius of one unit
TRIGONOMETRIC IDENTITIES
Quotient identities:
tanθ=sinθ/cosθ
Pythagorean identity:
〖cos〗^2 θ+〖sin〗^2 θ=1
Double angle formation:
sin2θ=2sinθcosθ
cos2θ
〖cos〗^2 θ-〖sin〗^2 θ
2〖cos〗^2 θ-1
1-2〖sin〗^2 θ
RULES
Cosine rule:
c^2=a^2+b^2-2abcosC
Sine rule:
a/sinA=b/sinB=c/sinC
GRAPHS OF TRIGONOMETRIC FUNCTIONS
TRIGONOMETRIC FUNTIONS
TRANSLATIONS
STRETCHES
COMBINED TRANSFORMATIONS
TRANSLATION AND STRETCHES OF TRIGONOMETRIC FUNCTIONS