6. Less than 5 when x lies between 2 and 3; greater than 5 for all values beyond these limits.

PLANE TRIGONOMETRY.

I. PAGE 335.

1. 43.750o, 11° 50′ 3·03′′.

3. n the number of grades.

5. . 7. 8. 8. 25o, 75o, 90°.

2. 88 88' 88.8"

(a+b) degrees, 200 (a + b) grades.

12.

a

qa

2. From 0° to 90°, +; from 90° to 180°, 270°, +; from 270° to 360°, -.

3. Cos A+ sin A is +, +

,

as A lies between 45°

and 45°, 45° and 135°, 135° and 225°, 225° and 315° The corresponding signs of cos A

respectively. sin A are +,

4. Cos 2 A is +

/31

2 √2

60°.

respectively, as in Question 3.

45°, and tan A - 6.

=

30°.

=

15. A = 0°, 45°, 135°.

1. 2, 3, 1, 1, − 2, 1-5.

2. §, 6, 1.5.

3. 1.0791812, 1-5563025, 1.6532125, 1.8750613, 2.6020600, 5740313, 1.8239087, 2.8696761.

4. 1.3172901, 3-3172901, 2-3172901, 3.3172901. 5. 1, 1, 3, 3.

6. 020912, 2091200, 20912, 20912.

9. C = 50 √(√3 − 1), b = 100 (√3 − 1).

= 30°.

2. B 45° or 135°, C105° or 15°, c = 9 (6± √2).

=

WILLIAM COLLINS, SONS, AND CO., LIMITED, GLASGOW.