Geometry formula Downloa
Trigonometry 8.4
Exercise 9. 1 all solution pdf format
Trigonometric Sign Functions
sin (-θ) = − sin θ
cos (−θ) = cos θ
tan (−θ) = − tan θ
cosec (−θ) = − cosec θ
sec (−θ) = sec θ
cot (−θ) = − cot θ
Trigonometric Identities
sin2A + cos2A = 1
tan2A + 1 = sec2A
cot2A + 1 = cosec2A
Periodic Identities
sin(2nπ + θ ) = sin θ
cos(2nπ + θ ) = cos θ
tan(2nπ + θ ) = tan θ
cot(2nπ + θ ) = cot θ
sec(2nπ + θ ) = sec θ
cosec(2nπ + θ ) = cosec θ
Complementary Ratios
Quadrant I
sin(π/2 − θ) = cos θ
cos(π/2 − θ) = sin θ
tan(π/2 − θ) = cot θ
cot(π/2 − θ) = tan θ
sec(π/2 − θ) = cosec θ
cosec(π/2 − θ) = sec θ
Quadrant II
sin(π − θ) = sin θ
cos(π − θ) = -cos θ
tan(π − θ) = -tan θ
cot(π − θ) = – cot θ
sec(π − θ) = -sec θ
cosec(π − θ) = cosec θ
Quadrant III
sin(π + θ) = – sin θ
cos(π + θ) = – cos θ
tan(π + θ) = tan θ
cot(π + θ) = cot θ
sec(π + θ) = -sec θ
cosec(π + θ) = -cosec θ
Quadrant IV
sin(2π − θ) = – sin θ
cos(2π − θ) = cos θ
tan(2π − θ) = – tan θ
cot(2π − θ) = – cot θ
sec(2π − θ) = sec θ
cosec(2π − θ) = -cosec θ