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Can you find the reference angle of a quadrantal angle?
Yes. Quadrantal angles have reference angles of either 0 degrees (e.g. 0 degrees and 180 degrees) or 90 degrees (e.g. 90 degrees and 270 degrees).
What is Quadrantal triangle?
A quadrantal triangle is a type of triangle in which one of its angles measures exactly 90 degrees, while the other two angles are each 45 degrees. This specific configuration results in an isosceles right triangle, where the two legs are of equal length, and the hypotenuse is the longest side. Quadrantal triangles are often used in trigonometry and geometry due to their unique properties and relationships between their angles and side lengths.
What is formula of quadrantal spherical triangle?
There is no single formula: there are several, depending on what information you have and what you wish to know.
What is the measure of quadrantal angle?
A quadrantal angle is one whose initial arm is the positive x-axis and whose terminal arm is on the y-axis or the y-axis.In other words, it is k(90 degrees), k is an integer.(in radians: k(pi)/2)
What is quadrantal triangle in spherical trigonometry?
It's an equilateral triangle whose legs are all 90-degree arcs. Here's a quadrantal triangle on the earth: -- Start at the north Pole. -- Draw the first side, down along the north 1/2 of the Prime Meridian to the equator. -- Draw the second side westward along the equator, to 90 degrees west longitude. -- Draw the third side straight north, back up to the north Pole. Each side of the triangle is 90 degrees, each interior angle is also 90 degrees, and the sum of its interior angles is 270 degrees. Pretty weird.
Is 38 pi divided by 4 radians a quadrantal angle?
9.5
What is a non quadrantal angle?
A quadrantal angle is one that in 0 degrees, 90 degrees, 180 degrees, 270 degrees or 360 degrees (the last one being the same as 0 degrees). These are the angles formed by the coordinate axes with the positive direction of the x-axis. All other angles (in the range 0 to 360 degrees) are non-quadrantal
Can you find the reference angle of a quadrantal angle?
Yes. Quadrantal angles have reference angles of either 0 degrees (e.g. 0 degrees and 180 degrees) or 90 degrees (e.g. 90 degrees and 270 degrees).
Find value of trigonometric functions of quadrantal angle?
sin 0=13/85
What is formula of quadrantal spherical triangle?
There is no single formula: there are several, depending on what information you have and what you wish to know.
What is the measure of quadrantal angle?
A quadrantal angle is one whose initial arm is the positive x-axis and whose terminal arm is on the y-axis or the y-axis.In other words, it is k(90 degrees), k is an integer.(in radians: k(pi)/2)
What is the angle when the terminal side of an angle in standard position lies along one of the axes?
Quadrantal angle
What is a quadrantal angle?
A Quadrantal angle is an angle that is not in Quadrant I. Consider angle 120. You want to find cos(120) . 120 lies in quadrant II. Also, 120=180-60. So, it is enough to find cos(60) and put the proper sign. cos(60)=1/2. Cosine is negative in quadrant II, Therefore, cos(120) = -1/2.
What is quadrantal angle?
A Quadrantal angle is an angle that is not in Quadrant I. Consider angle 120. You want to find cos(120) . 120 lies in quadrant II. Also, 120=180-60. So, it is enough to find cos(60) and put the proper sign. cos(60)=1/2. Cosine is negative in quadrant II, Therefore, cos(120) = -1/2.
What is quadrantal triangle in spherical trigonometry?
It's an equilateral triangle whose legs are all 90-degree arcs. Here's a quadrantal triangle on the earth: -- Start at the north Pole. -- Draw the first side, down along the north 1/2 of the Prime Meridian to the equator. -- Draw the second side westward along the equator, to 90 degrees west longitude. -- Draw the third side straight north, back up to the north Pole. Each side of the triangle is 90 degrees, each interior angle is also 90 degrees, and the sum of its interior angles is 270 degrees. Pretty weird.
What is the difference between surveyors compass and prismatic compass?
PRISMATIC COMPASSThe graduated ring remains stationary as it is attached to magnetic needle. While the compass needle and the eye sight vane can be rotatedThe graduations are made in such a way that 00 or 3600 is at the south, 1800 at north, 900 at south and 2700 at eastSighting of the object and the taking of reading is done simultaneouslyPrismatic compass can be used without a tripodSURVEYORS COMPASSThe graduated ring being attached to the compass moves with sights. But needle remains stationary when box is rotatedThe graduations are made as 00 at north & south 900 at east and west. The east and west positions are interchanged in order to read the bearing in quadrantal bearing systemSighting the object is done first. Then the reading is to be taken with naked eye by looking above the needle pointSurveyor's compass cannot be used without a tripod
Cos 195 degree use the trigonometry functions of quadrantal angles and special to find the exact value?
cos(195) = cos(180 + 15) = cos(180)*cos(15) - sin(180)*sin(15) = -1*cos(15) - 0*sim(15) = -cos(15) = -cos(60 - 45) = -[cos(60)*cos(45) + sin(60)*sin(45)] = -(1/2)*sqrt(2)/2 - sqrt(3)/2*sqrt(2)/2 = - 1/4*sqrt(2)*(1 + sqrt3) or -1/4*[sqrt(2) + sqrt(6)]
