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1 Press Ctrl-A ©G Dear2008 – Not to be sold/Free to use Complementary Trigonometric Ratios Stage 6 - Year 11 Mathematic (Preliminary)
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2 Complementary Trigonometric Ratios θ Sin θ = 90 - θ Cos (90 – θ ) Cos θ = Sin (90 – θ ) Tan θ = Cot (90 – θ )
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3 Complementary Trigonometric Ratios θ Cosec θ = 90 - θ Sec (90 – θ ) Sec θ = Cosec (90 – θ ) Cot θ = Tan (90 – θ )
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4 Complementary Trig Ratios Examples 60 o Sin 60 o = 30 o Cos (90 o – 60 o ) = Cos 30 o Sec 40 o = Cosec (90 o – 40 o ) = Cosec 50 o Cot 10 o = Cos (90 o – 10 o ) = Cos 80 o
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5 Complementary Trig Ratios Examples Simplify: Sin 40 o + Cos 50 o = Sin 40 o + Sin(90 o – 50 o ) = Sin 40 o + Sin 40 o = 2 Sin 40 o Simplify: Sin 40 o Cos 50 o = Sin 40 o Sin(90 o - 50 o ) Sin 40 o = = 1
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