Name: Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance
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Create your own worksheets like this one with Infinite Algebra 1. Free trial available at KutaSoftware.com. Title: Finding Trigonometric Ratios Author: Mike Created Date:
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Trigonometry Concepts Review 1) Evaluate a) sec Find 2 3 < 360 (reference angle is 30 ) It's helpful to 'unrationalize the denominator' to recognize the ratio tan x (tangent is positive in I and Ill) Since tan is negative and cos is positive, the angle must be in quad IV.. 30 and 330 and where 0 < b) tan x Find x Cos -4 where 0 < x < 2 2) Given:
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Examples: Find the missing side length using trigonometry (solve for x). 1. 2. Examples: Find the missing angle measure using trigonometry (solve for T). 3. 4. Examples: Solve the triangle (find all side lengths and all angle measures). 5. 6.
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Trig Prove each identity; 1 . 1 . secx - tanx SInX - - secx 3. sec8sin8 tan8+ cot8 sin' 8 5 .cos ' Y -sin ., y = 12" - Sin Y 7. sec2 e sec2 e-1 csc2 e Identities worksheet 3.4 name: 2. 1 + cos x = esc x + cot x sinx
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23. 24. mB _____ mF _____ Use trig ratios and your graphing calculator to approximate each length and angle measure to the nearest tenth (these are all RIGHT triangles).
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3 3 Types of Problems: Simplifying (write in simplest terms) Verifying (show why the identity is true by working from one side to the other) Evaluating (use trig identities to solve)
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Lesson 3: Using Trigonometry to Find Angle Measures Using Trigonometry to Find Angle Measures: -In Algebra, we could solve 2 14x by doing the opposite of multiplying by 2, which is dividing. -We also solved x2 9 by doing the opposite of squaring, which is taking the square root. -In trigonometry, to solve 1 n 2 x we need to do the opposite of ...
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Applications of Trigonometry The Fundamental Identity! Previously we saw that in the unit circle x 2 + y = 1 We also saw that by definition x = cos and y = sin θ cos 2 + sin = 1 θ Combining these we get: Which can then be rearranged to obtain: 1 - sin 2 =1 and θ 1 - cos 2 =1 θ If you take the expression marked and divide each term by cos 2 ...
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