0
Trigonometry
Trigonometry is a field of mathematics. It is the study of triangles. Trigonometry includes planar trigonometry, spherical trigonometry, finding unknown values in triangles, trigonometric functions, and trigonometric function graphs.
3,810 Questions
You can identify it by a letter from the alphabet of your choice. Conventionally, if using the Roman alphabet, an upper case (capital) letter is used, or even other symbols.
Alternatively, you can name it using the vertex of the angle and one point on each of the two rays forming the arms of the angle. In this case, the letter fr the vertex must be the middle letter. Thus, the angle PQR is formed where the ray PQ meets the ray QR. This is not the same as angle PRQ.
How do you simplify cos theta times csc theta divided by tan theta?
'csc' = 1/sin
'tan' = sin/cos
So it must follow that
(cos) (csc) / (tan) = (cos) (1/sin)/(sin/cos) = (cos) (1/sin) (cos/sin) = (cos/sin)2
How many degrees of angle going through 1 hour?
Well.. It is a very easy question.. The total degrees in a circle are 360. And total number of hours are 12. So we can get the angle going through 1 hour to be 360/12 = 30 degrees.
What is tangent in trigonometry?
Tangent is the ratio between perpendicular to the base of the triangle.
If a diameter of the semicircle is 14cmfind its perimeter?
Perimeter = Circumference/2+Diameter Perimeter = (pi*14)/2+14 = 35.99114858cm or 36cm correct to two significant figures.
Tan plus cot divided by tan equals csc squared?
(tanx+cotx)/tanx=(tanx/tanx) + (cotx/tanx) = 1 + (cosx/sinx)/(sinx/cosx)=1 + cos2x/sin2x = 1+cot2x= csc2x
This is a pythagorean identity.
What is the sign of the cordinates each quadrant?
Quadrant I : (+, +)
Quadrant II : (-, +)
Quadrant III : (-, -)
Quadrant IV : (+, -)
How do you express sin x plus cos x divided by cos x in terms of tan x?
(sin x + cos x) / cosx
= sin x / cos x + cosx / cos x
= tan x + 1
How do you Define the trigonometric functions and give example each?
- Sin: Opposite over Hypotenuse
- Cosine: Adjacent over Hypotenuse
- Tangent: Opposite over Adjacent
http://rml3.com/a20p/images/trig_sin_cos_tan.gif
In general you cannot. The area of a regular pentagon with sides of length 5 units is 52*5/4tan(pi/5) 43.012 square units.
Then, if the prism's height is 10 units, the volume is 43.012*10 = 430.12 cubic units.
How is an apothem different from a radius?
An apothem is a line drawn perpendicular to a side of a regular polygon from the center of the polygon. A polygon is not a circle so it cannot have a radius. The radius of a circle is drawn from the center to any point in the circumference of the circle. You can draw a circle which encloses the regular polygon touching all vertices. The polygon is said to be inscribed in the circle. The apothem will be less than the radius because the radius is not perpendicular to any side, it can be drawn to a vertex but the apothem is perpendicular to a side, so it is shorter.
Ex: draw a square with a circle which inscribes it. You can see that the apothem will be less than the radius.
The tangent formula for a right angle triangle is tangent = opposite/adjacent
20^\circ20∘77??CCBBAA
It is a greek letter which is used to mark an unknown angle in a triangle when you are going to use trigonometry to work it out,
eg. sin(theta)=length of opposite side/ length of hypoteneuse
A circle has a diameter 15 centimeters. What is the area in square centimeters?
The area in square centimeters is: 176.7
Definition of 6 trigonometric functions?
sin(x) = x - x3/3! + x5/5! - x7/7! + ...
and
cos(x) = 1 - x2/2! + x4/4! - x6/6! + ... where x is the angle measured in radians.
Then
tan(x) = sin(x)/cos(x) where cos(x) is not 0
cosec(x) = 1/sin(x) where sin(x) is not 0
sec(x) = 1/cos(x) where cos(x) is not 0
and
cot(x) = cos(x)/sin(x) where sin(x) is not 0
How do you calculate shaft power?
Shaft power P = (2(pi) * (angular Speed in rpm) * (Torque at shaft)/ 60
Torque of a solid shaft is given by (pi/16)* (Shear stress of material of shaft) * (Dia of shâft3).
