Plane trigonometry, by S.L. Loney.

TRIGONOMETRICAL RATIOS.

31

EXAMPLES. VI.
1. Express all the other trigonometrical ratios in terms of the cosine.
2. Express all the ratios in terms of the tangent.
3. Express all the ratios in terms of the cosecant.
4. Express all the ratios in terms of the secant.
5. The sine of a certain angle is find the numerical values of the
other trigonometrical ratios of this angle.
12
6. If sin 0 = -, find tan 0 and versin 0.
13
7. If sin A =, find tan A, cos A, and sec A.
4
8. If cos 0= -, find sin 0 and cot 0.
9
9. If cos A =9, find tan A and cosec A.
3
10. If tan 0=., find the sine, cosine, versine and cosecant of 0.
4,- - 1, cl. cosec2 0 - sec2 6
11. If tan 0=, find the value of cosec 0-sec
V7 ' cosec2 0 + sec2 0 '
15
12. If cot =-, find cos 0 and cosec 0.
13. If sec A =- find tan A and cosec A.
2
14. If 2 sin = 2 -cos 0, find sin 0.
15. If 8 sin 8=4+ cos 0, find sin 0.
16. If tan + sec =1-5, find sin0.
17. If cot 0 + cosec 0 = 5, find cos 0.
18. If 3 sec4 0 + 8 = 10 sec2 0, find the values of tan 0.
19. If tan20+sec0=5, find cos0.
20. If tan 0+ cot 0=2, find sin 0.
21. If sec2 = 2 + 2 tan 0, find tan 0.
22. If tan 2x (x+),find sin 0 and cos 0.
2x+1