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The Trigonometric Functions we will be looking at SINE COSINE TANGENT

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The Trigonometric Functions SINE COSINE TANGENT

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SINE Prounounced “sign”

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Prounounced “co-sign” COSINE

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Prounounced “tan-gent” TANGENT

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Prounounced “theta” Greek Letter Represents an unknown angle

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opposite hypotenuse adjacent hypotenuse opposite adjacent

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We need a way to remember all of these ratios…

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Old Hippie Some Old Hippie Came A Hoppin’ Through Our Apartment

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SOHCAHTOA Old Hippie Sin Opp Hyp Cos Adj Hyp Tan Opp Adj

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Finding sine, cosine, and tangent ratios

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6 8 10 SOHCAHTOA

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Find the sine, the cosine, and the tangent of angle A. Give a fraction and decimal answer (round to 4 places). 9 6 10.8 A

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Find the values of the three trigonometric functions of . 4 3 ? Pythagorean Theorem: (3)² + (4)² = c² 5 = c 5

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Find the sine, the cosine, and the tangent of angle A A 24.5 23.1 8.2 B Give a fraction and decimal answer (round to 4 decimal places).

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Finding a missing side using sine, cosine or tangent

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A surveyor is standing 50 feet from the base of a large tree. The surveyor measures the angle of elevation to the top of the tree as 71.5°. How tall is the tree? 50 71.5° ? tan 71.5° y = 50 (tan 71.5°) y = 50 (2.98868)

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A person is 200 yards from a river. Rather than walk directly to the river, the person walks along a straight path to the river’s edge at a 60° angle. How far must the person walk to reach the river’s edge? 200 x Ex. 60° cos 60° x (cos 60°) = 200 x X = 400 yards

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Trigonometric Ratios Consider the triangle given below. 1.The box in the bottom right corner tells us that this is a right triangle. 2.The acute angle.

Trigonometric Ratios Consider the triangle given below. 1.The box in the bottom right corner tells us that this is a right triangle. 2.The acute angle.

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