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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

When A 12-foot extension ladder is placed against a wall To achieve the proper climbing angle approximately how far should the bottom of the ladder be from the base of the wall?

You may set the correct distance by trying different angles so that you feel confortable when climbing the ladder. Approximately between 80 to 130 cm. But it is the correct angle that can tell you the adequate distance from the wall. Only by climbing a ladder you know it. I advise you to put a piece of rubber under the ladder so that it can't slip.

How many revolutions per minute are the wheels of a bicycle turning if the diameter is 26 inches and you are traveling at a speed of 35 miles per hour?

Bicycle wheels with a diameter of 26 inches, travelling 35 miles per hour, are turning 452 revolutions per minute.

35 miles per hour is 36,960 inches per minute (25 *5280 * 12 / 60)

26 inches diameter is 81.7 inches circumference, so the revolutions per minute is 36,960 / 81.7 or 452 revolutions per minute.

How can I solve tan of 3 theta -sqrt of 3 equals 0 for theta?

tan3A-sqrt3=0

tan3A=sqrt3

3A=tan^-1(sqrt3)

3A= pi/3+npi

A=pi/9+npi/3

n=any integer

How is trigonometry used in electronics?

Trigonometry is used effectively in electronics.

How many different types of instruments are there?

Thousands, if not more.

There are all sorts of musical instruments.

There are instruments for performing many different tasks.

Then there are instruments for measuring all sorts of physical, chemical properties of things.

What does trigonometry involve?

You need to be able to solve logarithms and be very good at algebra. In college, you have to be able to do college level algebra before you can take trig.

Suppose you have an isosceles triangle and each of the equal sides has a length of foot Suppose the angle formed by those two sides is 45 degrees what is the area?

The area of a triangle with two sides equal to 1 foot and the angle between those two sides equal to 45 degrees is 0.354 square feet.

Draw a triangle, one side of length 1, from the origin to the right along the x axis. The second side, also of length 1, goes up and to the right from the origin at an angle of 45 degrees with respect to the x axis. The third side connects the two end points of those line, but the length of that line does not matter.

Draw a fourth line from the top of the triangle straight down to the x axis. That is the height of the triangle, and it is also sine(45 degrees), which is one half the square root of two or 0.707. Take the base (1), multiply by the height (0.707) and divide by 2 and you get 0.354.

Technically, the fourth line is sine(45 degrees) divided by the hypotenuse, but since the hypotenuse is 1 (the second line), it was omitted in the prior paragraph for clarity.

What is the sine of 57degrees 12 minutes?

In angle measurement, 60 minutes = 1°

57° 12' = 57.2 °

Sin 57.2 = 0.84057 (5dp)

If the x and y components of a vector are respectively 6 and 8. What is the length and angle of inclination?

The length, or magnetude, of the vector is the square root of (6^2 + 8^2), or 10. The angle of inclination is tan-1 of (8/6), or 53.13 degrees.

Is an ellipse a polygon?

No, polygons are made of straight, non-overlapping sides. An ellipse has curves.

What pyramids have an odd number of edges?

There are no pyramids with an odd number of edges.

A pyramid is defined as a polygon for the base, with triangular shaped faces rising from the base's edges to a common point above the plane. As a result, the number of rising edges is always equal to the number of base edges, meaning that the total number of edges is always even.

What does trigonometric identities all about?

They are true statements about trigonometric ratios and their relationships irrespective of the value of the angle.

What is another name for a cartesian coordinate system?

It is the Cartesian plane or grid system whereas coordinates of x and y are plotted on it.

What is the angle if the sin is 0.92595?

If this is a homework assignment, please consider trying it yourself first, otherwise the value of the reinforcement to the lesson offered by the homework will be lost on you.

If the sin of an angle is 0.92595, the angle is the inverse sin of 0.92595, which is 67.812 degrees, or 1.1835 radians.

If a tree casts a shadow of fifteen meters long how tall is the tree?

Not enough information has been given to solve this problem such as: What is the angle of elevation?

What is the purpose of ellipses?

Describes orbits of satellites, moons, planets, asteroids, comets. The create 'nice' looking curves for decoration. Some architects have incorporated them into building design, The US capital has an elliptical ceiling.

Find the value of cos1cos2cos3cos4....cos179?

Find the value of Cos1o.cos2o.cos3o.cos4o......cos179o.

Ans: Cos90o=0

Therefore, Cos1o.Cos20,Cos30,cos40......Cos900.......Cos1790=0

Sine of 1 minute of arc?

1 minute of arc is one sixtieth, or about 0.01667, of a degree. The sine of of 0.01667 degrees is about 0.0002909.

What is the difference between Trigonometry and Pre-Calculus?

Trigonometry focuses specifically on the study of triangles, and concepts that are closely related to properties of triangles. Pre-Calculus is generally a preperation for the concepts of Calculus, and often reviews or builds upon concepts learned in previous forms of mathematics, which may include information learned from Trigonometry.

What is the domain of the sine function?

The domain of the sine function is [-infinity, +infinity].

The range is [-1, +1].

The sine function is periodic. It repeats itself every 360 degrees or 2PI radians.

How do you solve 2 sin squared theta equals 1?

first divide each side by 2 so you get...

sine^2(X)=1/2

Then make sine ^2(X)=sine(x^2)

SO you get... sine(X^2)=1/2

Then take the sine^-1 of each side it will look like this X^2=sine^-1(1/2)

type the right side into a calc which will give you a gross decimal but it works (0.5235987756)

so now you have

X^2=0.5235987756

then take the square root of each side to make it linear and you will get X=.7236012546

and that is your answer!!!! make sure to check it on your calculator...I did and it worked

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Not quite correct, I fear. Try this:

Let s = sin θ.

Then,

2s2 = 1;

s2 = ½; and

s = ±½√2.

Therefore,

θ = 45°, 135°, 225°, or 315°;

or, if you prefer,

θ = ¼π, ¾π, 1¼π, or 1¾π.