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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
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
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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).
How much does a column of water weigh if the column's height is 15 miles and its diameter is 5 feet?
pi x (2.5 ft)2 x 15 mi x 5280 ft/mi x 62.4 lb/ft3 ÷ 2000 lb/ton ≈ 48,519 tons
Heron's formula to find area of triangle
semi perimeter(s)=sum of all the sides of triangle/2
area of tiangle=P[s(s-first side)(s-second side)(s-third side)]1/2
You sit in the sun for about 2-3-4 hours.
No! Do not sit in the sun for that long. You could get dehydrated and get sun poisioning! Use tanning lotion is the way i find most easiest OR go to a tanning bed.
Agreed, don't sit in the sun for that long- though is there even such a thing as sun poisoning?. Personally I prefer pale skin, but each to their own. If you can get a tan, sit in the sun for a little while, but drink enough water and wear sunscreen. A lot of people think this stops you from getting a tan, but it doesn't; it helps protect your skin while you get a tan. If you find getting a tan hard, you might have to get a fake tan. A tanning bed will not help if you can't get a tan normally, it will only further damage your skin.
What is the distance between a2 7 and b-5 0?
Dist2 = [2 - (-5)]2 + [7 - 0]2 = 72 + 72 = 2*72
So dist = 7*sqrt(2) = 9.8995
Why are there six trigonometrics functions only?
All the trigonometric functions are derived from the right angled triangle. If we consider the three sides (AB, BC, CA) of a triangle and the included angle. There is a possibility of getting six functions based on the ratios like AB/AC, BC/AC, AB/BC, BC/AB, AC/BC, AC/AB . So we will have six trigonometric functions
What is tan theta divided by cot theta?
Since CotΘ = 1 / tanΘ, then tanΘ / cotΘ = tanΘ / (1/tanΘ) = tanΘ x tanΘ = tan²Θ
How do you solve the questions on Circular Measure?
That depends on the questions which have not been given but in general circular measurements are:-
Circumference of a circle = 2*pi*radius or diameter*pi
Area of a circle = pi*radius2
How do you solve sin x plus cos x equals zero?
The statement of the problem is equivalent to sin x = - cos x. This is true for x = 135 degrees and x = -45 degrees, and also for (135 + 180n) degrees, where n is any integer.
How to convert degree minutes seconds angle to decimal?
Works on the same principle as "60 seconds = 1 minute and 60 minutes = 1 hour (or degree in this case)...
So for example: 2 degrees, 45 Minutes and 20 seconds is worked as follows:
Now, 20 seconds = 0.33 minutes (i.e. 20/60); add to 45 minutes to get 45.33 minutes..
45.33 minutes = 45.33/60 degrees = 0.7555 degrees.
Therefore, final answer is 2 + 0.7555 = 2.7555 degrees....
Hope this helps!!
What unit is the middle ordinate measured in?
The measurement unit depends on the characteristic that is being measured.
