Plane trigonometry, by S.L. Loney.

168

TRIGONOMETRY.

[Exs. XXIV.]

4. Given log 258-36=2-4122253
and log 2-5837= -4122421
find the numbers whose logarithms are
*4122378 and 2-4122287.
5. From the table on page 153 find the logarithms of
(1) 52538-97, (2) 527-286, (3) -000529673,
and the numbers whose logarithms are
(4) 3-7221098, (5) 2-7240075 and (6) -7210386.
6. Given sin 43~ 23' = 6868761
and sin 43~ 24'= -6870875,
find the value of sin 43~ 23' 47"
7. Find also the angle whose sine is -6870349.
8. Given cos 32~ 16' = -8455726
and cos 32~17'= -8454172,
find the values of cos 32~ 16' 24" and of cos 32~ 16' 47".
9. Find also the angles whose cosines are
*8454832 and -8455176.
10. Given tan 76~ 21' = 41177784
and tan 76 22'=4-1230079,
find the values of tan 76~ 21' 29" and tan 76~ 21' 47".
11. Given cosec 13~8'=4-4010616
and cosec 13~ 9' = 43955817,
find the values of cosec 13~ 8' 19" and cosec 13~ 8' 37".
12. Find also the angle whose cosecant is 4-396789.
13. Given L cos 34~ 44'= 9-9147729
and L cos 34~ 45'= 99146852,
find the value of L cos 34~ 44' 27".
14. Find also the angle 0, where
L cos 0=9-9147328.