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In this section we study certain ratios of the sides of right triangles, called trigonomet-ric ratios, and give several applications. Trigonometric Ratios. riangle with u as one of its acute angles. The trigonometric ra. THE TRIGONOMETRIC RATIOS. opposite. sin u hypotenuse. hypotenuse. csc u opposite. adjacent. cos u hypotenuse.
21 Ιαν 2015 · Name: WORKSHEET: The Six Trigonometric Functions For 1 – 3, Evaluate the six trigonometric functions of the angle θ. 1. 2. 3. For 4 – 6, find the missing side lengths x and y. 4. 5. 6. For 7 – 14, use a calculator to evaluate the trigonometric function to four decimal places. 7. cos 27° 8. tan 5° 9. sin 48° 10. cot 81°
Trigonometric ratios provide relationships between the sides and angles of a right angle triangle. The three most commonly used ratios are: = RECIPROCAL RATIOS. To get the reciprocal of a number, just divide 1 by the number. Example: the reciprocal of 2 is 1/2 (half) Every number has a reciprocal except 0 (1/0 is undefined)
Finding Trigonometric Ratios Date_____ Period____ Find the value of each trigonometric ratio to the nearest ten-thousandth. 1) tan A 16 34 30 A B C 1.8750 2) cos C 12 9 15 C B A 0.8000 3) sin Z 16 12 20 Z Y X 0.6000 4) sin C 40 30 50 C B A 0.6000 5) sin C 14 50 48 C B A 0.9600 6) sin C 48 14 50 C B A 0.2800 7) cos A 3 5 4 A B C 0.6000 8) cos X ...
1. State the six trigonometric ratios for angles A and B in the triangles below. For part a, state the ratios as exact fractions. For part b, state the ratios as decimals rounded to the nearest hundredth. a) b) 2. When the moon is exactly half full , the earth, moon, and sun form a right angle (see the figure below).
Kuta Software - Infinite Algebra 2 Name_____ Right Triangle Trig. - Evaluating Trig. Ratios Date_____ Period____ Find the value of the trig function indicated. 1) sec θ 17 8 15 θ 2) sec θ 13 5 12 θ 3) cot θ 5 3 4 θ 4) csc θ 17 15 8 θ 5) csc θ 16 2 24 8 θ 6) cos θ 21 7 14 2 θ 7) cot θ 25 15 20 θ 8) tan θ 24 22 2 23 θ
Read each question carefully before you begin answering it. Check your answers seem right. Always show your workings. Revision for this topic. www.corbettmaths.com/more/further-maths/. 1. Angle θ is obtuse and sinθ = 5. 4. Work out the value of cosθ.
