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Solving Right Triangles
Essential Question How do I solve a right triangle?
Vocabulary Solve a right triangle – to determine the measures of all six parts (3 angles, 3 sides).
Inverse Trig Ratios We use the inverse sine, inverse cosine, and inverse tangent if we are trying to find angle measures. The calculator buttons look like this: sin-1 cos-1 tan-1
Example 1 Find the acute angles of the triangle. Round to the nearest tenth.
Try This! Find the acute angles of the triangle. Round to the nearest tenth.
Example 2 Solve the right triangle.
Try This! Solve the right triangle.
Summarizer What is the minimum amount of information needed to solve a right triangle? 2 side lengths or… 1 side length and 1 acute angle measure
trigonometry trigonometric ratio sine cosine tangent inverse sine
D. Trigonometry Math 10: Foundations and Pre-Calculus FP10.4 Develop and apply the primary trigonometric ratios (sine, cosine, tangent) to solve problems.
5/5/ : Sine and Cosine Ratios 10.2: Sine and Cosine Expectation: G1.3.1: Define the sine, cosine, and tangent of acute angles in a right triangle.
Calculating Sine, Cosine, and Tangent *adapted from Walch Education.
Trigonometry Chapters Theorem.
Solving Right Triangles
Starter a 6 c A 53° 84° 1.Use Law of Sines to calculate side c of the triangle. 2.Use the Law of Cosines to calculate side a of the triangle. 3.Now find.
Trigonometry (RIGHT TRIANGLES).
Jeopardy Trig fractions Solving For Angles Solving for Sides Other Trig Stuff $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.
Solve Right Triangles Ch 7.7. Solving right triangles What you need to solve for missing sides and angles of a right triangle: – 2 side lengths – or –
Unit Solving Right Triangles OBJ: SWBAT solve triangles using the six trigonometric ratios. HW: p 259 (29,33, 37, 41)
8.3 Solving Right Triangles
TODAY IN ALGEBRA 2.0… Review: Pythagorean Theorem and the six trigonometric functions Learning Target: 13.1 You will find missing sides of a triangle.
EXAMPLE 1 Use an inverse tangent to find an angle measure
Sine, Cosine and Tangent Ratios Objective Students will be able to use sine, cosine, and tangent ratios to determine side lengths in triangles.
A B C Warm UP What side is The hypotenuse? What side is opposite A?
Angles All about Sides Special Triangles Trig Ratios Solving Triangles
Geometry Notes Lesson 5.3A – Trigonometry T.2.G.6 Use trigonometric ratios (sine, cosine, tangent) to determine lengths of sides and measures of angles.
Geometry Notes Lesson 5.3B Trigonometry
Honors Geometry Sections 10.1 & 10.2 part 2 Solving Right Triangles.
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