Solve for x, if \(\tan 3x = 5 \tan x\).
A\(20.705^\circ\)
B\(30.705^\circ\)
C\(35.705^\circ\)
D\(15.705^\circ\)
Mathematics · Question Bank
Trigonometry
7 of 124 questions match. Answer in your head first, then check the solution.
Solve for x in the given equation: Arc tan (2x) + arc tan (x) = \(\frac{\pi}{4}\)
A0.149
B0.281
C0.421
D0.316
Solve for x in the equation: arc tan (x + 1) + arc tan (x-1) = arc tan (12).
A1.5
B1.34
C1.20
D1.25
A ship started sailing S \(42^\circ 35'\) W at the rate of 5 kph. After 2 hours, ship B started at the same port going N \(46^\circ 20'\) W at the rate of 7 kph. After how many hours will the second ship be exactly north of ship A?
A3.68
B4.03
C5.12
D4.83
Solve for angle A in the spherical triangle ABC, given \(a=106^\circ 25'\) \(c=42^\circ 16'\) and \(B=114^\circ 53'\)
A\(45^\circ 54'\)
B\(80^\circ 42'\)
C\(97^\circ 09'\)
D\(72^\circ 43'\)
Determine the spherical excess of the spherical triangle ABC given \(a=56^\circ\) \(b=65^\circ\) and \(c=78^\circ\)
A\(33^\circ 33'\)
B\(68^\circ 37'\)
C\(91^\circ 57'\)
D\(98^\circ 45'\)
A ship on a certain day is at latitude \(20^\circ\) N and longitude \(140^\circ\) E. After sailing for 150 hours at a uniform speed along a great circle route, it reaches a point at latitude \(10^\circ S\) and longitude \(170^\circ\) E. If the radius of the earth is 3959 miles, find the speed in miles per hour.
A17.4
B15.4
C16.4
D19.4