Trigonometric Ratios The legend of Chief Sohcahtoa.

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Presentation transcript:

Trigonometric Ratios The legend of Chief Sohcahtoa

Trigonometric Ratios 3 basic types of trigonometric ratios are: Sine (sin) Cosine (cos) Tangent (tan)

SOH CAH TOA S O H C A T ine pposite ypotenuse osine djacent angent

Trigonometric Ratios Let ∆ABC be a right triangle. The sine, cosine, and the tangent of the acute angle A are defined as follows:

Example Find the following trigonometric ratio.

Solve for the Missing Side of The  S C T Remember O A O H H A 7 Solve for x 27° Which side are we looking for? a o h x Which side do we have? a o h Since Cos uses “a” and “h”, we are going to use the Cos function 7 x Cos27=  x7.86 (cos27) (x) = 7 Cross Multiply 1 1 PS.  means approx equal

Indirect Measurement To measure the height of the tree, you figure out the angle from the ground to The top of the tree. You then measure 45 feet from the base to form a right Triangle. You can then figure the Height of the tree.

h 25

Trigger These Out! Quiz: Page 648 # 2, 4, 6, 16, 20 Homework: # 3, 5, 15, 17, 19