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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

Values of the 6 trigonometric functions?

Sine Theta (sin θ) = opposite/hypotenuse = a/c

Cosine Theta (cos θ) = adjacent/hypotenuse = b/c

Tangent Theta (tan θ) = opposite/adjacent = a/b

Cotangent Theta (cot θ) = adjacent/opposite = b/a

Secant Theta (sec θ) = hypotenuse/adjacent = c/b

Cosecant Theta (csc θ) = hypotenuse/opposite = c/a

You may need to look on the link below for some sample calculations

The vertex of an angle is?

The vertex is the singular of vertices and they both have angles that are measured in degrees.

How do you find an angle of a right triangle?

you need to have at least 2 values of the lengths of the triangle

and then you can find the angle by sine, cosine or tangent formulas

you may try this online calculator for right triangles.

http://www.rillocenter.com/calculate/trigonometry.html

What is the cosine of 35?

The cosine of 35 degrees is 0.82, to the same number of significant digits as 35.

What is the cosine of 270 degrees?

it is 0because on the unit circle 270 is the negative y axis (0,1) the x coordinate is the cos value

Is there an official number for sin tan and cos?

No, they are functions associated with angle values. The function values are dependent on the input angle.

How do you simplify fractions with square roots?

First since I don't know how to type in the square root of something, I'm going to type it in like this: sqrt(x)

Now say you have 1/sqrt(3). The square root can not be on the bottom. So mulitply the equation by the sqrt(3). This means TOP and BOTTOM! so then it looks like sqrt(3)/3. And that is an acceptable answer.

How many items are in a unit?

There is no set number of items in a unit. Often a unit will be 6, 12, 24, or 36 but it can be any amount.

What is the cotangent of 360 degrees?

cot(360°) = cot(0°) = tan(90°) = ∞

How can the height of a tree be calculated?

It can easily be measured by using a protractor and measuring the angle between the ground and the top of the tree. You need to know exactly how far you are from the tree. Then you can use trigonometry to calculate the height of the tree. Tan (angle in degrees) = height of tree / distance from tree

Is trigonometry a star?

No, it is a branch of mathematics.

A rock is thrown vertically from the ground with a velocity of 24 meters per second and it reaches a height of 2 plus 24t - 4.9t2 after t seconds Round your answers to the nearest hundredth?

The question has no answer.
This sort of question is based on the assumption that gravitational acceleration is 9.8 m/s^2 (downwards). In that case, if the rock is projected from the ground its height at time t is 24t - 4.9t^2. It cannot be greater than that unless air resistance is negative!

How do you prove the following equation the quantity of sin theta divided by 1 minus cos theta minus the quantity 1 plus cos theta divided by sin theta equals 0?

You will have to bear with the angle being represented by x because this browser will not allow characters from other alphabets!

sin^2x + cos^2x = 1=> sin^2x = 1 - cos^x = (1 + cosx)(1 - cosx)

Divide both sides by sinx (assuming that sinx is not zero).

=> sinx = (1 + cosx)(1 - cosx)/sinx

Divide both sides by (1 - cosx)

=> sinx/(1 - cosx) = (1 + cosx)/sinx

=> sinx/(1 - cosx) - (1 + cosx)/sinx = 0


What is the value of Cos 1?

The inverse cos of 1 is equal to o degrees. You can find this answer by knowing what angle measurement has cos equal to a value of 1.

Let f r to r be an elementary function let p and q be two distinct points on the graph of f what is slope of the line determined by these two points?

Let P and Q have coordinates (Px, Py) and (Qx, Qy), respectively (here x and y are intended as subscripts)

Note that Py = f(Px) and Qy = f(Qx)

Slope m = (vertical difference) / (horizontal difference)

m = (Qy-Py) / (Qx-Px)

What is the list of the first 100 odd numbers?

Imagine all of the 100 numbers from 1 to 100 written horizontally towards the right. Then imagine another100 numbers written below the first row, but starting with 100 at the left and finishing with the number 1 on the right hand end. Now you can see what looks like 100 additions of two numbers. If you worked out those additions they would all total exactly 101, which means that altogether we have 100 pairs of numbers each totalling 101, and therefore the grand total of all 200 numbers is 101 x 100 = 10100; but 10100 is the total of two sets of numbers from 1 to 100; we want the total of one set of numbers; so we divide the 10100 by 2 which is 5050; the beauty of this method is that you don't need complicated calculations; all you need to be able to do is to multiply by 100 and to divide by 2; a very neat solution to the problem!

How is volume calculated?

taking each side of the object and measuring how big and timing it to see what the answer is.

What is sin squared x equals cos squared minus 2 sin x?

Since the word 'equals' appears in your questions it might be what is called a trigonometric identity, in other words a statement about a relationship between various trigonometric values.

What is the relationship between those trigonometry function e.g sine and cos and also tan curve?

Given that theta is the angle with respect to the positive X axis of a line of length 1, then sin(theta) = Y and cos(theta) is X, with (X,Y) being the point at the end of the line. As theta sweeps from 0 to 360 degrees, or 0 to 2 pi radians, that point draws a circle of radius 1, with center at (0,0).

Since X, Y, and 1 form the sides of a right triangle, where 1 is the hypotenuse, then the pythagorean theorem states that X2 + Y2 = 12. This means that sin2(theta) + cos2(theta) = 1.

Tan(theta) is defined as sin(theta) divided by cos(theta), or Y / X. Since division by zero is a limiting invalidity, then tan(theta) is asymptotic to Y=0, having value of +infinity at theta = 90 or pi / 4, and -infinity at 270 or 3 pi / 4.