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Mrs. Rivas International Studies Charter School.

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Trigonometry Functions There are six trigonometry functions. There are six trigonometry functions. SCT Sine (sin), Cosine (cos), Tangent (tan), SecantCC Secant (sec), Cosecant (csc), Cotangent (cot) Some people remember the first three trigonometry functions by: SSOHSSOH CCAHCCAH TTOATTOA

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Trigonometry Functions SCTSOHCAHTOASCTSOHCAHTOA

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Examples: Examples: What are the sine, cosine and tangent ratios for T. Trigonometry Functions

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Examples: Examples: What are the secant, cosecant and cotangent ratios for T. Trigonometry Functions

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Sin 35º = x 20 2020 20 0.5735 = x 11.47 = x 11.5 ≈ x Trigonometry Functions

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Mrs. Rivas International Studies Charter School. Use right triangles to evaluate trigonometric functions

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Mrs. Rivas International Studies Charter School.

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Mrs. Rivas International Studies Charter School.

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Mrs. Rivas International Studies Charter School.

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Mrs. Rivas International Studies Charter School.

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Mrs. Rivas International Studies Charter School.

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Mrs. Rivas International Studies Charter School.

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Mrs. Rivas International Studies Charter School.

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Mrs. Rivas International Studies Charter School. Use equal cofunctions of complements

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Mrs. Rivas International Studies Charter School.

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Mrs. Rivas International Studies Charter School. cofunctions are called cofunctions. Using Figure 4.36, we can show that the tangent and cotangent are also cofunctions of each other. So are the secant and cosecant.

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Mrs. Rivas International Studies Charter School.

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Mrs. Rivas International Studies Charter School. Use right triangle trigonometry to solve applied problems. angle of elevation Many applications of right triangle trigonometry involve the angle made with an imaginary horizontal line. As shown in Figure 4.37, an angle formed by a horizontal line and the line of sight to an object that is above the horizontal line is called the angle of elevation. angle of depression The angle formed by a horizontal line and the line of sight to an object that is below the horizontal line is called the angle of depression. Transits and sextants are instruments used to measure such angles.

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Mrs. Rivas International Studies Charter School. Sighting the top of a building, a surveyor measured the angle of elevation to be 22°. The transit is 5 feet above the ground and 300 feet from the building. Find the building’s height. The height of the part of the building above the transit is approximately 121 feet. Thus, the height of the building is determined by adding the transit’s height, 5 feet, to 121 feet. 126 feet The building’s height is approximately 126 feet.

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Mrs. Rivas International Studies Charter School.

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Mrs. Rivas International Studies Charter School.

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Mrs. Rivas Check Points 1-7 Check Points 1-7 and Pg. 498-499 # 8-54 Even

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