# 7.6 Trigonometric Ratios - 7.5 7.6 Trigonometric Ra3os...

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7.5, 7.6 Trigonometric Ra3os Assignment: Handout for 7.5 and 7.6
Finding Trig Ra3os A trigonometric ra3o is a ra3o of the lengths of two sides of a right triangle. Abbrevia3ons: Sine – sin, cosine – cos, tangent – tan.
Finding Trig Ra3os adjacent opposite hypotenuse R TS Sin S = Side oppositeS hypotenuse Cos S = Side adjacent toS hypotenuse Tan S = Side oppositeS Side adjacent toS SOH CAH TOA s – sine o – opposite a – adjacent h - hypotenuse c – cosine t - tangent
A C B 5 3 Ex 1: a)Find the sine, cosine and tangent of <B. TanBCosB SinB b)Find the sine, cosine and tangent of <A.
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A CB 120 x y Ex 2: a)Find x46 .110) 67(sin120120 6767== = xxx Sinhyp opp Sinb)Find y 89

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Unformatted text preview:. 46 ) 67 (cos 120 120 67 67 ≈ = = = y y y Cos hyp adj Cos 67 A C B y 27 x a) Find x b) Find y 18 . 32 40 tan 27 27 40 tan 27 40 tan ≈ = = = x x x x 00 . 42 40 sin 27 27 40 sin 27 40 sin ≈ = = = y y y y 40 Ex 3: Using Trigonometric Ra3os in Real-­‐life angle of eleva3on x y angle of depression Ex. 4: • You are measuring the height of a Sitka spruce tree in Alaska. You stand 45 feet from the base of the tree. You measure the angle of eleva3on from a point on the ground to the top of the top of the tree to be 59°. tan 59 ° = opposite adjacent tan 59 ° = h 45 45 tan 59° = h 74.89 ≈ h