If \(\sec A\) is \(5/2\), the quantity \(1-\sin^2 A\) is equivalent to
A2.5
B1.5
C0.4
D0.6
Mathematics · Question Bank
Trigonometry
48 of 124 questions match · page 1 of 3. Answer in your head first, then check the solution.
\(\csc 520^\circ\) is equal to
A\(\cos 20^\circ\)
B\(\csc 20^\circ\)
C\(\tan 45^\circ\)
D\(\sin 20^\circ\)
Solve for \(\theta\) in the following equation: \(\sin 2\theta = \cos \theta\)
A\(30^\circ\)
B\(45^\circ\)
C\(60^\circ\)
D\(15^\circ\)
If \(\cos 65^\circ + \cos 55^\circ = \cos \theta\), find \(\theta\) in radians.
A0.765
B0.087
C1.213
D1.421
Find the value of \(\sin(\text{arc} \cos \frac{15}{17})\).
A8/11
B8/19
C8/15
D8/17
The sine of a certain angle is 0.6, calculate the cotangent of the angle.
A4/3
B5/4
C4/5
D3/4
If \(\tan x = \frac{1}{2}\), \(\tan y = \frac{1}{3}\), what is the value of \(\tan(x+y)\)?
A1/2
B1/6
C2
D1
Find the value of \(\frac{\sin \theta + \cos \theta \tan \theta}{\cos \theta}\)
A\(2 \sin \theta\)
B\(2 \cos \theta\)
C\(2 \tan \theta\)
D\(2 \cot \theta\)
Simplify the equation \(\sin^2 \theta (1 + \cot^2 \theta)\)
A1
B\(\sin^2 \theta\)
C\(\sin^2 \theta \sec^2 \theta\)
D\(\sec^2 \theta\)
Solve for the value of "A" when \(\sin A = 3.5x\) and \(\cos A = 5.5x\).
A\(32.47^\circ\)
B\(33.68^\circ\)
C\(34.12^\circ\)
D\(35.21^\circ\)
If \(\text{coversed} \sin \theta = 0.134\), find the value of \(\theta\).
A\(30^\circ\)
B\(45^\circ\)
C\(60^\circ\)
D\(90^\circ\)
If Greenwich mean time (GMT) is 6 A.M., what is the time at a place located \(30^\circ\) East longitude?
A7 A.M.
B8 A.M.
C9 A.M.
D4 A.M.
If the longitude of Tokyo is \(139^\circ E\) and that of Manila is \(121^\circ E\) what is the time difference between Tokyo and Manila?
A1 hour and 12 minutes
B1 hour and 5 minutes
C1 hour and 8 minutes
D1 hour and 10 minutes
One degree on the equator of the earth is equivalent to
A1 minute
B4 minutes
C30 minutes
D1 hour
A spherical triangle ABC has an angle \(C=90^\circ\) and sides \(a=50^\circ\) and \(c=80^\circ\). Find the value of "b" in degrees.
A73.22
B74.33
C75.44
D76.55
Solve for side b of a right spherical triangle ABC whose parts are \(a=46^\circ\), \(c=75^\circ\) and \(C=90^\circ\).
A\(74^\circ\)
B\(68^\circ\)
C\(48^\circ\)
D\(74^\circ\)
Given a right spherical triangle whose given parts are \(a=82^\circ\) \(b=62^\circ\) and \(C=90^\circ\). What is the value of the side opposite the right angle?
A\(83^\circ 30'\)
B\(84^\circ 45'\)
C\(86^\circ 15'\)
D\(85^\circ 15'\)
What is the spherical excess of a spherical triangle whose angles are all right angles?
A\(45^\circ\)
B\(90^\circ\)
C\(60^\circ\)
D\(30^\circ\)
A spherical triangle has an area of 327.25 sq. km. What is the radius of the sphere if its spherical excess is 30°?
A20 km
B22 km
C25 km
D28 km
Given the triangle ABC in which A = 30°30′, b = 100 m and c = 200 m, find the length of side a.
A124.64 m
B142.24 m
C130.50 m
D103.00 m