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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 a 213 degree angle?

An angle of 213 degrees is a reflex angle

What jobs use trigonometry functions?

Often people involved in industrial production will use polar graphs to program their machines; take, for, example, a pretzel-making machine. They can graph the path the "dough-shaping" machine must follow on a polar graph.

What is the triangular prism volume formula?

The Formula is Base*Height, or 1/2 Height (altitude of the triangle) * Base (of the Triangle) * height (Height of the prism)

What is the probability that a couple with 3 children will have at least 1 girl?

The easiest way of calculating this is to find the probability that all three are boys, as this is the only arrangement that does not fit the criteria. Then work out the answer by taking this away from 1. Probability that all three are boys = 1/2 x 1/2 x 1/2 = 1/8. probability of there being at least one girl is 1 - 1/8 = 7/8 or 87.5%

Why the value of tan A is always less than one?

The values of tan are limitless (that is to say, within [-inf, inf]). However, sin and cos ratios are between -1 and 1. Think about it: sin = opposite/hypotenuse. Since hypotenuse is always larger than or equal to opposite, sin must always be less than 1. Same with cos.

What is The Latin maxim nulla poena sine lege is also known as?

The principle of legality; no act should be made criminal or punished without advance warning in the form of legislative act.

How do you find the hypotenuse of a right triangle when only a side length and angle is given?

Dependent on what side you are given you would use Sin(Θ) = Opposite/Hypotenuse just rearrange the formula to Hypotenuse = Opposite/Sin(Θ).

Or if you are given the adjacent side use Cosine(Θ)=Adjacent/Hypotenuse, then:

Hypotenuse = Adjacent/Cosine(Θ)

Where is the origin of trigonometry in 18Th century?

The origin of trigonometry in the 18th century was the trigonometric knowledge at the end of the 17th century!

What is sss in postulate?

This stands for side-side-side. It means if two triangles have three sides that are the same length, than they triangles are congruent.

What does sin 4 theta equal?

assuming that you mean what is theta if sin 4 theta = 0 then then theta=0, 0.25pi, 0.5pi, 0.75pi...

if not then without additional information the best answer you can get is sin4theta=sin4theta

In a triangle ABC b equals 15 cm and c equals 25 cm and also angle B equals 32'15'Find the side a and other angles?

By the sine rule,

sin(C)/c = sin(B)/b

so sin(C) = 25/15*sin(32d15m) = 0.8894

so C = 62.8 deg or 117.2 deg.

Therefore, A = 180 - (B+C) = 85.0 deg or 30.5 deg

and then, using the sine rule again,

a/sin(A) = b/sin(B)

so a = sin(A)*b/sin(B) = 28 or a = 14.3

Why is sine 30 the same as cosine of 60?

sin(30) = sin(90 - 60) = sin(90)*cos(60) - cos(90)*sin(60)

= 1*cos(60) - 0*sin(60) = cos(60).

What is sec squared theta minus tan squared theta?

1 - sin2(q) = cos2(q)

dividing through by cos2(q),

sec2(q) - tan2(q) = 1

A yacht leaves a dock at a bearing of S 1.4 degrees E and a speed of 20 knots over 428 nautical-miles. a. How long will it take the yacht to make the trip b. How far east and south is it after 12hr?

1 knot = 1 nautocal mile per hour.

So 428 nm @ 20 knots per hour will take 428/20 = 21.4 hours.

After 12 hours, it is 20*12 = 240 nautical miles away.

Its distance East is 240*cos(1.4deg) = 239.9 nautical miles and

its distance South is 240*sin(1.4deg) = 5.9 nautical miles.

Where is INV button or option in Casio scientific calculator mine is fx-500ES please help asap?

The INV button is the same as the SHIFT button on the top left corner of the buttons (the leftmost button under the screen).