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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
Calculating Sine, Cosine, and Tangent *adapted from Walch Education.
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.
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
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?
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.
Friday, February 5 Essential Questions
Use this diagram for Exercises 1–4.
How do I use the sine, cosine, and tangent ratios to solve triangles?
Finding an angle. (Figuring out which ratio to use and getting to use the 2 nd button and one of the trig buttons. These are the inverse functions.) 5.4.
Solving Right Triangles Geometry H2 (Holt 8-3)K. Santos.
Warm- Up 1. Find the sine, cosine and tangent of A. 2. Find x. 12 x 51° A.
9-1 & 9-2 Trigonometry Functions. Vocabulary Examples 1) Write the ratios for Sin A Cos A Tan A 2) Write the ratios for Sin A Cos A Tan A.
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