Trigonometric Ratios of Complementary Angles.
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First Quadrant
sin(π/2−θ) = cosθ
cos(π/2−θ) = sinθ
tan(π/2−θ) = cotθ
cot(π/2−θ) = tanθ
sec(π/2−θ) = cosecθ
cosec(π/2−θ) = secθ
Second Quadrant
sin(π−θ) = sinθ
cos(π−θ) = -cosθ
tan(π−θ) = -tanθ
cot(π−θ) = - cotθ
sec(π−θ) = - secθ
cosec(π−θ) = cosecθ
Third Quadrant
sin(π+θ) = -sinθ
cos(π+θ) = -cosθ
tan(π+θ) = tanθ
cot(π+θ) = cotθ
sec(π+θ) = -secθ
cosec(π+θ) = -cosecθ
Fourth Quadrant
sin(2π−θ) = -sinθ
cos(2π−θ) = cosθ
tan(2π−θ) = -tanθ
cot(2π−θ) = -cotθ
sec(2π−θ) = secθ
cosec(2π−θ) = -cosecθ
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