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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 marine biologists use trigonometry?
Marine biologists use trigonometry to analyze and interpret data related to the movement and behavior of marine organisms. For instance, they apply trigonometric functions to calculate distances and angles when mapping habitats or tracking animal migrations. Additionally, trigonometry aids in understanding the geometry of underwater ecosystems, such as coral reefs, which is essential for assessing biodiversity and ecosystem health. This mathematical tool helps in designing effective conservation strategies and studying the physical properties of marine environments.
To determine the fan's angular speed after a certain time, you can use the formula ( \omega_f = \omega_i + \alpha t ), where ( \omega_f ) is the final angular speed, ( \omega_i ) is the initial angular speed, ( \alpha ) is the angular acceleration, and ( t ) is the time. With an initial speed of 4.00 radians/second and an acceleration of 6.00 radians/second², the fan's angular speed will increase linearly over time. For example, after 1 second, the final speed would be ( 4.00 + (6.00 \times 1) = 10.00 ) radians/second. The angular speed will continue to increase at this rate based on the time elapsed.
How do you solve logarithms with a negative in front?
Negatives cause no problem: log10x = -3 means x = 10-3 = 0.001 It doesn't make sense, though, to FIND the logarithm of a negative number: log10(-8) = ???? (unless you know about complex numbers . . . )
Formula for volume of triangular prism?
To find the volume of a triangular prism, find the area of one of the triangles (base of the prism) first (base x height divided by 2). When you have the area of the triangle, then multiply the area of the triangle by the height of the prism, *not the height of the base.
How can you use advanced mathematics in daily life?
Advanced maths like calculus, trigonometry etc can be used to find areas of irregular objects. Simple math is use extensively in daily life like statistics.
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.
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.
How do you draw a triangle with sum of interior angles not equal to 180 degrees?
You don't. There's no such thing.
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 determine inside angles for trig?
The answer depends on the shape and what information you do have about it.
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.
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.
