7.4 trigonometry -_sol_g7

7.4 Trigonometry ,[object Object],[object Object],[object Object]

Trigonometric Ratios ,[object Object],= Opposite Hypotenuse ,[object Object],= Adjacent Hypotenuse ,[object Object],= Opposite Adjacent ,[object Object]

Sine AB AB Opposite Hypotenuse Sin A = BC = AC = Opposite Hypotenuse Sin B =

Cosine AB AB Adjacent Hypotenuse ,[object Object],Adjacent Hypotenuse ,[object Object],BC = AC =

Tangent AC BC Opposite Adjacent ,[object Object],AC = Opposite Adjacent ,[object Object],BC =

Example 1: ,[object Object],Opp 8 17 15 = 0.47 Hyp 8 17 Adj = 0.88 Hyp 15 17 Opp = 0.53 Adj 8 15 Sin L = = Cos L = = Tan L = = Hypotenuse

Example 1: continued ,[object Object],Opp 8 17 15 = 0.88 Hyp 15 17 Adj = 0.47 Hyp 8 17 Opp = 1.88 Adj 15 8 Sin N = = Cos N = = Tan N = = Hypotenuse

Example 2: ,[object Object],[object Object],[object Object],Make sure your calculator is in degree mode 1.4826 0.0175

Example 3: ,[object Object],opp 5 (sin 7  ) = y Convert to inches y = 12(0.6093467) 0.6093467 ft = y ≈ 7.3 hyp sin 7  = 5 (sin 7  ) = (5) y 5 Hypotenuse Opposite y 5 =

Using Trigonometry to Find and Angle Measure ,[object Object],If sin B = 0.7823, then sin -1 (0.7823) = B This is done in the calculator: Press the 2 nd key, press the sin (sin -1 ) key Type in 0.7823 and press enter B = 51.47 

Examples 4: ,[object Object],[object Object],[object Object],[object Object],A = 13.3 tan -1 (0.2356) = A cos -1 (0.6401) = R R = 50.2

7.4 trigonometry -_sol_g7

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7.4 trigonometry -_sol_g7