'Unknown angle' diaporamas de présentation

Chapter 2. Technical Mathematics

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Warm Up

Preview. Warm Up. California Standards. Lesson Presentation. Warm Up Tell whether the given angles are vertical, complementary, or supplementary. 1. ? QXT and ? QXR 2. ? QXR and ? TXS 3. ? PXQ and ? QXR 4. ? PXQ and ? PXS 5. ? TXS and ? SXR. supplementary. vertical.

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Chapter 9 Summary

Chapter 9 Summary. Similar Right Triangles. If the altitude is drawn to the hypotenuse of a right triangle, then the 3 triangles are all similar. C. B. A. D. Find QS. Solve for x. C. B. A. D. Solve for x. Find XZ. Pythagorean Theorem. In a right triangle, .

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Technology in Precalculus

Technology in Precalculus. The Ambiguous Case of the Law of Sines & Cosines Lalu Simcik Cabrillo College. Simplify & Expand Resources. What if, on day one of precalculus, students could factor polynomials like: By typing: roots([ 1 2 -5 -6]). Screen shot for polynomial roots:.

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Chapter 6 Investigating Non-Right Triangles as Models for Problems: 6.3 Investigating the Sine Law

Chapter 6 Investigating Non-Right Triangles as Models for Problems: 6.3 Investigating the Sine Law. 6.3 Investigating the Sine Law. Goals for Today: Learn one of the ways that we can find unknown sides and angles in a non-right angle triangle. 6.3 Investigating the Sine Law. Minds On:

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The Trigonometric Functions we will be looking at

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Warm up

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Warm Up

Warm Up. Problem of the Day. Lesson Presentation. Lesson Quizzes. Warm Up Solve. 1. 72 + 18 + x = 180 2. 80 + 70 + x = 180 3. x + 42 + 90 = 180 4. 120 + x + 32 = 180. x = 90. x = 30. x = 48. x = 28. Problem of the Day

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Warm Up

Preview. Warm Up. California Standards. Lesson Presentation. Warm Up Tell whether the given angles are vertical, complementary, or supplementary. 1. ? QXT and ? QXR 2. ? QXR and ? TXS 3. ? PXQ and ? QXR 4. ? PXQ and ? PXS 5. ? TXS and ? SXR. supplementary. vertical.

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Trigonometric Ratios

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Warm-Up

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Daily Check

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Quick Quiz

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Angles in a straight line and around a point

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The Sine Rule.

A. b o. C. a o. c o. B. The Sine Rule. c o. B. A. a o. b o. C. Finding The Sine Rule. Consider the triangle below:. H. Add the altitude line as shown. H is the height of the triangle. Now write the sine ratio for each right angled triangle:. H =. A sin b o. H =. B sin a o.

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Appendix B

Appendix B. Trigonometry Review. Trigonometric Identities. Hopefully, you remember these from last year (you were required to memorize ten of them) plus SOH CAH TOA.

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Triangles

Triangles. Objective: Learn to name and classify triangles . . Triangles are polygons with 3 sides. They can be classified by the number of congruent (equal) sides they have. . There are 3 types of triangles: Equilateral Triangles: are triangles that have 3 congruent (equal) sides.

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A = Cos o x H

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Finding the measure of an acute angle of a right triangle given two side lengths

Finding the measure of an acute angle of a right triangle given two side lengths. STEPS:. 1) Label the unknown angle with an arc, and the sides with O,A and H. 2) Set up a trigonometric ratio equation using the two unknown sides. 3) Solve for the unknown angle.

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