...and Q, while the values of x are numerically equal, but of opposite sign. Note in particular that — The sine of an angle is the same as the sine of its supplement ; The cosine of an angle is equal in numerical magnitude but opposite in sign to the cosine of its...

...sines of the opposite angles, X ir" f 100 (A—C or), s : d : : sin f : sin [i80°—(ffg)], and, since the sine of an angle is the same as the sine of its supplement, s : d : : sin f : sin (f+g) .-. s=d sin f sin (f+g)' and since the angles f and g are always small...

...given angle is acute and the side opposite the given angle is less than the other given side. Since the sine of an angle is the same as the sine of its supplement the formula gives two values. Whenever an angle is found by its sine, there are two solutions unless...

...E. with reference to the original meridian. As the value of the angle is obtained from the sine, and the sine of an angle is the same as the sine of 180° minus the angle, there is an ambiguity here, which, however, the surveyor's knowledge of the...

...mils, it is sometimes more convenient to measure the offset from the line OQ extended beyond 0, since the sine of an angle is the same as the sine of 3,200 mils minus the angle. (Fig, 52.) ToT ToP FIGUBE 52.— Obliquity angles (3) Obliquity factors....

...BOP = 30° (ie when AOP = 150°). Similarly, sin 60° = sin 120°, sin 40° = sin 140°. In general, the sine of an angle is the same as the sine of (180° -that angle), or sin0 = sin(180°-0). Thus, to find sin 1 25° from the tables we look up sin...

...BOP = 30° (ie when AOP = 150°). Similarly, sin 60° = sin 120°, sin 40° = sin 140°. In general, the sine of an angle is the same as the sine of (180° -that angle), or sin Q = sin (180° -9). Thus, to find sin 1 25° from the tables we look up...