Lesson 14 Right Triangle Trig.ppt

# 1 tan 2 1 sec 2 cot 2 1 csc 2 26 example given sec 4

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= 1 tan 2 + 1 = sec 2 cot 2 + 1 = csc 2

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26 Example : Given sec = 4, find the values of the other five trigonometric functions of . Use the Pythagorean Theorem to solve for the third side of the triangle. tan = = cot = sin = csc = = cos = sec = = 4 θ 4 1 Draw a right triangle with an angle such that 4 = sec = = . adj hyp
Using the calculator Function Keys Reciprocal Key Inverse Keys 27

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Using Trigonometry to Solve a Right Triangle A surveyor is standing 115 feet from the base of the Washington Monument. The surveyor measures the angle of elevation to the top of the monument as 78.3 . How tall is the Washington Monument? Figure 4.33
Applications Involving Right Triangles The angle you are given is the angle of elevation, which represents the angle from the horizontal upward to an object. For objects that lie below the horizontal, it is common to use the term angle of depression.

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Solution where x = 115 and y is the height of the monument. So, the height of the Washington Monument is y = x tan 78.3 115(4.82882) 555 feet.
31 Homework 14 Read Section 4.2 pp. 335-336; 1-23 odd, 29-55 odd, 61, 62, 65 Handout: 1-4 all, 9-15 odd, 17-22 all, 27-45 odd, 64, 65
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