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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 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

* * * * *

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.

Probability of an impossible event is?

an impossible event has a probability of 0, it will never occur

a certain event has a probability of 1, it will always occur

What is 99.9 percent repeating as a decimal?

.999 repeating = 1
So 1.0
think of it as
7/9 = .777...
8/9 = .888...
9/9 = .999... 9/9 = 1

A ladder rests against a wall the top of the ladder reaches 15 feet up the wall and makes an angle of 53 with the wall how long is the ladder?

If the wall is straight and the ground level then this is an outline of a right angle-triangle. If the top of the ladder makes an angle of 530 with the wall then the bottom of the ladder must make 370 to the ground.

Use the sine ratio to find the length of the ladder (which will be the hypotenuse)

sin = opp/hyp rearranged to hyp = opp/sin

hyp = 15/sin370 = 24.92460212 feet

So the length of the ladder is 25 feet correct to the nearest foot.

What do mechanics use trigonometry for?

Mechanics use trigonometry to find angles mostly used in body or chassis work.

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 and cosine of real numbers?

Putting a question mark at the end of a phrase does not make it a sensible of even an answerable question.

Sine and cosine of real numbers? Yes, they do exist. In fact, sines and cosines of complex numbers also exist. Does that answer the question?

What does BILsin theta mean?

it is the formula for magnetic field strength

by Amankwah -Yeboah

Why does the formula for area of a sector one half r-squared theta not hold true if theta is measured in degrees?

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.

The area of a circle is pi r2.

The area of a sector, defined as the proportion of an angle theta over the angle of a full circle is (pi r2 theta) / (2 pi). That simplifies to (r2 theta) / 2.

Using degrees, the same equation is (pi r2 theta) / 360. That does not simplify any further.

The reason for this is that theta in radians is defined as the proportion of the circumference of the circle, which is 2 pi r. This makes the math come out easier, which is why most trigonometry is done in radians, not degrees.

Verify that sin minus cos plus 1 divided by sin plus cos subtract 1 equals sin plus 1 divided by cos?

[sin - cos + 1]/[sin + cos - 1] = [sin + 1]/cosiff [sin - cos + 1]*cos = [sin + 1]*[sin + cos - 1]
iff sin*cos - cos^2 + cos = sin^2 + sin*cos - sin + sin + cos - 1

iff -cos^2 = sin^2 - 1

1 = sin^2 + cos^2, which is true,

How do you fix a scientific calculator?

There are many issues that you may be having with the calculator. You can call Texas Instruments Customer Support at 1-800-842-2737 for general questions regarding your calculator.

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?

How do you find a tangent?

If you have a function f(x), then the tangent can be found by deriving f, denoted

d/dx(f(x)) = f'(x). This will give the slope of f(x) at a certain point (a,b).

find f'(a), call this m. Now, use the standard form for a line, y = mx+c, plug in the point (a,b) to solve for c. Finally, the equation for the line tangent to a point (a,b) and f(x) is y= f'(a)x + c