Trigonometric Ratios LT 8 2 Use Trig ratios

Trigonometric Ratios LT 8. 2: Use Trig ratios to find side lengths in right triangles and to solve real-world problems.

Trigonometric Ratios Vocabulary Trigonometric ratio is a ratio of two sides of a right triangle.

Trigonometric Ratios

Trigonometric Ratios Math Humor Q: What happened to the geometry student who went to the beach to catch some rays? A: He became a tangent!

Trigonometric OA SO H C A H TRatios I N E p p o s i t e y p o t e n u se o s i n e d j a c e n t y p o t e n u se a n g e n t p p o s I t e d j a c e n t

Trigonometric Ratios Example 1: Write the trigonometric ratio as a fraction and as a decimal rounded to the nearest hundredth.

Trigonometric Ratios Example 2 Use a special right triangle to write each trigonometric ratio as a fraction. sin 60˚ sin 45˚ cos 60˚ tan 45˚

Trigonometric Ratios Example 3 Use your calculator to find the trigonometric ratio. Round four places. cos 30° sin 62° tan 11°

Trigonometric Ratios Example 4 Find the length of DF. Round to the nearest hundredth.

Trigonometric Ratios Example 5 Find the length of ST. Round to the nearest hundredth.

Trigonometric Ratios Example 6 Find the length BC. Round to the nearest hundredth.

Trigonometric Ratios Example 8 The Pilatusbahn in Switzerland is the world’s steepest cog railway. Its steepest section makes an angle of about 25. 6º with the horizontal and rises about 0. 9 km. To the nearest hundredth of a kilometer, how long is this section of the railway track? 0. 9 km