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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
What is the graph of sine function is periodic at?
The graph of the sine function is periodic at every point. Periodic means that the value of the function at every point is repeated after an integer multiple of the period.
Explain why a and b must be equal if log a equals log b?
It is because the logarithm function is strictly monotonic.
Multiplication two complex numbers in c?
(a +bi)(c + di) : Use the distributive property and remember i*i = -1. In polar form:|ab| = |ab| and thetaab = thetaa + thetab.
What is the period of a 15MHz sine wave?
The period of a 15MHz sine wave is 1 / 15MHz, or 0.066667 us, or 66 2/3 ns.
How do draw a circle with a compass?
To draw a circle with a compass, first set the distance between the point and the pencil of the compass using a ruler. This distance is the radius. Now, place the point on the paper where you want the center of the circle. Spin the compass around the point, lightly dragging the pencil on the paper, and you will have a circle.
What is the graphic representation of cosine function?
Just like the sine function displaced by pi/2. In other words the cosine equals 1 at 0 degrees, 0 at 90 degrees, -1 at 180 and so on.
What is r to the fourth divided by r to the sixth?
It is 1 over r squared, or r to the negative second power.
How many meters are there in 9 arm span?
depends on the length of the persons arms. My arm span is about .8 meter so 9 x .8 = 7.2 meters
How do you draw a triangle with sum of interior angles not equal to 180 degrees?
You don't. There's no such thing.
Identify two area in everyday life where trigonometry plays a fundamental part?
Trigonometry is used in finding the height of towers and mountains and finding the distance between celestial bodies.
What does ine cosine and tangent mean?
Sine, Cosine and Tangent (abbreviated to sin, cos and tan) are three trigonometric ratios. They are used to find angles and sides in right angled triangles. There are more, but I will only explain these three.
In a right angled triangle, the hypotenuse (abbreviated to hyp) is ALWAYS opposite the right angle and is the longest side. The opposite (abbreviated to opp) is the side opposite to angle 'theta' (Θ, the unknown angle when finding angles). The adjacent (abbreviated to adj) is the side adjacent to (connecting) angle Θ and the right angle.
Here are the formulae:
sin = opp/hyp
cos = adj/hyp
tan = opp/adj
The made up word 'SOH CAH TOA' can help. It is made from the first letters of 'Sine is Opposite over Hhypotenuse. and so on'.
You may also have heard of Inverse sin, cos and tan (written as sin-1, cos-1 and tan-1). You use these to find an angle. For example: if you are finding the sine of angle Θ, and the opposite is 40 and the hypotenuse is 68, 40/68 = 0.588235..., then, sin-1(0.588235...), so, Θ = 36.0 (to 3 significant figures).
If you have a scientific calculator, you can use the sin, cos and tan buttons to help work out sides and angles. Usually, pressing 2ndF or SHIFT then sin, cos or tan gives sin-1, cos-1 or tan-1.
To find sides of a right angled triangle using sin, cos or tan, you need an angle other than the right angle. Let's say you have a triangle in which opp is 40 cm and you want to find hyp. the angle is 45°. This is the process:
You have opp and you need to find hyp. Therefore we use sin = opp/hyp.
sin 40° = 40/hyp
40 * sin 40° = hyp
hyp = 25.7 (to 3 sig. fig.)
I hope I've kept this clear and I hope you now understand sine cosine and tangent well.
How do you determine inside angles for trig?
The answer depends on the shape and what information you do have about it.
If you mean an angle of 60 degrees opposite a side of 8 cm and has another side called b which is 9 cm then label the angles as A B C and the opposite sides a b c.
This is an ambiguous scenario in which 60 degrees is not the 'included angle' but by manipulating the trigonometrical sine rule the angles are 60 degrees, 103 degrees and 17 degrees or 60 degrees, 77 degrees and 43 degrees.
Uses of cartesian coordinate system?
The Cartesian coordinate system allows a geometric curve to be described in algebraic terms. This then allows the use of algebraic tools including differentiation and integration to be used to solve geometric problems such as the turning points of curves, their volumes of rotation and so on. It also enables geometric methods to be applied to solving algebraic problems.
What kind of statement tells you when to use the term triangle?
A plane figure bounded by three straight edges.
Why inverse is called Circular function?
An inverse is NOT called a circular function. Only inverse functions that are circular functions are called circular functions for obvious reasons.
