# 8 2 Trigonometric Ratios Trigonometric Ratios Trigonometric Ratios

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8. 2 Trigonometric Ratios

Trigonometric Ratios �Trigonometric Ratios- is a ratio of two sides of a right triangle.

Trigonometric Ratios

Examples: Write the trigonometric ratio as a fraction and as a decimal rounded to the nearest hundredth. 1) a) b) c) sin J cos J tan K

Examples: Write the trigonometric ratio as a fraction and as a decimal rounded to the nearest hundredth. 2) a) b) c) cos A tan B sin B

Examples: 3) Use your calculator to find each trigonometric ratio. Round to the nearest hundredth. a) sin 52° b) cos 19° c) tan 65° d) tan 11° e) sin 62°

Examples: Find each length. Round to the nearest hundredth. 4) a) BC b) QR

Examples: Find each length. Round to the nearest hundredth. 5) a) FD b) DF

Examples: Find each length. Round to the nearest hundredth. 6) a) ST b) BC

Examples: Find each length. Round to the nearest hundredth. 7) a) JL b) CB and AC

8) Examples: Find AC, the length of the ramp, to the nearest hundredth of a foot. Angle C= 4. 8 o, AB=1. 2 ft

9) Examples: 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