9 5 Trigonometric Ratios Sine and Cosine Geometry
- Slides: 15
9. 5 Trigonometric Ratios Sine and Cosine Geometry How do you Sine and Cosine ratios to find missing lengths of right triangles?
Goals n n Find the sine and cosine, of an acute angle. Solve problems using trigonometric ratios. 03 October 2020 Geometry 9. 5 Trigonometric Ratios w/o Calculator 2
Right Triangle e t o p Hy A 03 October 2020 e s u n Opposite Adjacent Geometry 9. 5 Trigonometric Ratios w/o Calculator 3
Trig Ratio Definition: Sine e t o p Hy A e s u n Opposite Adjacent Opposite Sine of A = Hypotenuse 03 October 2020 Geometry 9. 5 Trigonometric Ratios w/o Calculator 4
Trig Ratio Definition: Cosine e t o p Hy A e s u n Opposite Adjacent Cosine of A = Hypotenuse 03 October 2020 Geometry 9. 5 Trigonometric Ratios w/o Calculator 5
Abbreviations Opposite A = Hypotenuse Sine sin of A Adjacent cos A Cosine of A = Hypotenuse Opposite A = Adjacent Tangenttan of A 03 October 2020 Geometry 9. 5 Trigonometric Ratios w/o Calculator 6
Memory Aid n n n Sine is Opposite over Hypotenuse. Cosine is Adjacent over Hypotenuse. Tangent is Opposite over Adjacent. SOHCAHTOA 03 October 2020 Geometry 9. 5 Trigonometric Ratios w/o Calculator 7
Writing Ratios SOHCAHTOA ? ? ? 03 October 2020 ? B 5 3 4 Geometry 9. 5 Trigonometric Ratios w/o Calculator A ? ? ? 8
Example 1 Find x. From the 28 angle, x is the ? Opposite side, and 15 is the x Hypotenuse. What trig ratio is this? 15 28 Sine (SOHCAHTOA) 03 October 2020 Geometry 9. 5 Trigonometric Ratios w/o Calculator 9
Example 1 Find x. Write the equation and solve. x 15 28 03 October 2020 Geometry 9. 5 Trigonometric Ratios w/o Calculator 10
Example 2 Find y. Write the equation and solve. 56 31 y 03 October 2020 Geometry 9. 5 Trigonometric Ratios w/o Calculator 11
Example 3 Find x. Write the equation and solve. 15 15 Cos 28 = x 15(. 8829) = x 03 October 2020 28 x Geometry 9. 5 Trigonometric Ratios w/o Calculator 12
Example 4 Find y. Write the equation and solve. 56(Sine 31) = y y 56 31 56(. 515) = y 03 October 2020 Geometry 9. 5 Trigonometric Ratios w/o Calculator 13
Example 5 Find x. Write the equation and solve. x. COS 28 = 15 x 28 15 03 October 2020 Geometry 9. 5 Trigonometric Ratios w/o Calculator 14
Summarize 03 October 2020 Geometry 9. 5 Trigonometric Ratios w/o Calculator 15
- Sine, cosine, and tangent
- Lesson 13-2 sine and cosine ratios answer key
- Burj khalifa trigonometry
- Sin 37 in fraction
- Geometry trigonometric ratios
- Sine and cosine graphs
- Amplitude of a graph
- Sine rule for finding angles
- Sine maze
- Cos clicker
- Graphing sine and cosine functions quiz
- Sine rule notes
- Sinusoids lesson 4-4
- Inverse sin graph
- Sine rule cosine rule
- Graph of sine and cosine functions