# Arithmétique et travaux pratiques cycle d'observation classe by Hémery C Lebossé C.

By Hémery C Lebossé C.

Manuel de mathématiques, niveau sixième. Cet ouvrage fait partie de l. a. assortment Lebossé-Hémery dont les manuels furent à l’enseignement des mathématiques ce que le Bled et le Bescherelle furent à celui du français.

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Arithmétique et travaux pratiques cycle d'observation classe de sixième

Manuel de mathématiques, niveau sixième. Cet ouvrage fait partie de l. a. assortment Lebossé-Hémery dont les manuels furent à l’enseignement des mathématiques ce que le Bled et le Bescherelle furent à celui du français.

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But 1 radian = 1,000 mils (approximately). Therefore, mils, the relation between arc, radius, and angle in mils. Example If a 4-yd. target is 2,000 yd. away from a gun, it subtends an angle mils at the gun. ) 43. How can radian measure be useful in finding the area of a circular sector? QUES. 43. In a circle, areas of sectors are proportional to the central angles of the sectors. Or the area of a circular sector is one-half the radius squared times the central angle in radians. QUES. 44. 44. What is the length of the arc subtended by a central angle of 60 degrees in a circle of 18 inches radius, and what is the area of the circular sector formed by the angle?

Example 25. What angle is formed by an arc 50 inches in length with a 10-inch radius? 26. What is the radius of a circle in which an arc of 10 inches subtends an angle of 2 radians? 27. What length of arc subtends an angle of radian if the radius of the circle is 32 feet? 28. How many degrees are there in 1 radian? 29. What part of a radian is 1 degree? 30. What is the procedure for changing from (a) degrees to radians and (b) radians to degrees? To change a. 017453. b. 296. 3 are sufficiently accurate for most purposes.

Find the sine, cosine, and tangent of an angle A that is in standard position if a point on the terminal line has an ordinate a and a distance d. 5. What is the largest positive value of (a) the sine function, (b) the cosine function, (c) the tangent function? 6. What is the largest negative value of (a) the sine, (b) the cosine, (c) the tangent? 7. What is the range of values of (a) the secant, (b) the cosecant? 8. What is the reciprocal of (a) sec A, (b) tan A, (c) sin A, (d) cot A, (e) cosec A, (f) cos A?