Sin \(B-A\) is equal to _, when \(B=270\) degrees and A is an acute angle.
A- cos A
Bcos A
Csin A
Dsin A
Mathematics · Question Bank
Trigonometry
33 of 124 questions match · page 1 of 2. Answer in your head first, then check the solution.
\((\cos A)^4 - (\sin A)^4\) is equal to
Acos 4A
Bcos 2A
Csin 2A
Dsin 4A
If \(\sin 3A = \cos 6B\) then
A\(A+B=90^\circ\)
B\(A+2B=30^\circ\)
C\(A+B=180^\circ\)
DNone of these
If \(\sin x \cos x + \sin 2x = 1\), what are the values of x?
A\(32.2^\circ, 69.3^\circ\)
B\(-20.67^\circ, 69.3^\circ\)
C\(20.90^\circ, 69.1^\circ\)
D\(-32.2^\circ, 69.3^\circ\)
Solve for G if \(\csc(11G - 16^\circ) = \sec(5G + 26^\circ)\).
A\(7^\circ\)
B\(5^\circ\)
C\(6^\circ\)
D\(4^\circ\)
Find the value of A between \(270^\circ\) and \(360^\circ\) if \(2 \sin^2 A - \sin A = 1\)
A\(300^\circ\)
B\(320^\circ\)
C\(310^\circ\)
D\(330^\circ\)
If \(\sec 2A = \frac{1}{\sin 13A}\), determine the angle A in degrees.
A\(5^\circ\)
B\(6^\circ\)
C\(3^\circ\)
D\(7^\circ\)
Find the value of y in the given: \(y = (1 + \cos 2\theta) \tan \theta\).
A\(\sin \theta\)
B\(\cos \theta\)
C\(\sin 2\theta\)
D\(\cos 2\theta\)
Simplify the expression \(\sec \theta - (\sec \theta)\sin^2 \theta\)
A\(\cos^2 \theta\)
B\(\cos \theta\)
C\(\sin^2 \theta\)
D\(\sin \theta\)
Arc tan \([2 \cos (\text{arc} \sin [(3^{1/2})/2])]\) is equal to
A\(\pi/3\)
B\(\pi/4\)
C\(\pi/16\)
D\(\pi/2\)
Evaluate arc cot \([2\cos (\text{arc} \sin 0.5)]\)
A\(30^\circ\)
B\(45^\circ\)
C\(60^\circ\)
D\(90^\circ\)
Solve for A for the given equation \(\cos^2 A = 1 - \cos^2 A\).
A45, 125, 225, 335 degrees
B45, 125, 225, 315 degrees
C45, 135, 225, 315 degrees
D45, 150, 220, 315 degrees
Evaluate the following: \(\frac{\sin^2 0^\circ + \sin^2 1^\circ + \sin^2 2^\circ + \dots + \sin^2 89^\circ + \sin^2 90^\circ}{\cos^2 0^\circ + \cos^2 1^\circ + \cos^2 2^\circ + \dots + \cos^2 89^\circ + \cos^2 90^\circ}\)
A1
B0
C45.5
D10
Simplify the following: \(\frac{\cos A + \cos B}{\sin A - \sin B} + \frac{\sin A + \sin B}{\cos A - \cos B}\)
A0
Bsin A
C1
Dcos A
Evaluate: \(\frac{2 \sin \theta \cos \theta - \cos \theta}{1 - \sin \theta + \sin^2 \theta - \cos^2 \theta}\)
A\(\sin \theta\)
B\(\cos \theta\)
C\(\tan \theta\)
D\(\cot \theta\)
If \(\sin A = 2.511x\), \(\cos A = 3.06x\) and \(\sin 2A = 3.939x\), find the value of x?
A0.265
B0.256
C0.562
D0.625
A man standing on a 48.5 meter building high, has an eyesight height of 1.5 m from the top of the building, took a depression reading from the top of another nearby building and nearest wall, which are \(50^\circ\) and \(80^\circ\) respectively. Find the height of the nearby building in meters. The man is standing at the edge of the building and both buildings lie on the same horizontal plane.
A39.49
B35.50
C30.74
D42.55
Points A and B \(1000\) m apart are plotted on a straight highway running East and West. From A, the bearing of a tower C is \(32^\circ\) W of N and from B the bearing of C is \(26^\circ\) N of E. Approximate the shortest distance of tower C to the highway.
A364 m
B374 m
C384 m
D394 m
Two triangles have equal bases. The altitude of one triangle is 3 units more than its base and the altitude of the other triangle is 3 units less than its base. Find the altitudes, if the areas of the triangles differ by 21 square units.
A6 and 12
B3 and 9
C5 and 11
D4 and 10
Solve the remaining side of the spherical triangle whose given parts are \(A=B=80^\circ\) and \(a=b=89^\circ\)
A\(158^\circ 12'\)
B\(162^\circ 21'\)
C\(168^\circ 31'\)
D\(172^\circ 12'\)