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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
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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
Do the equations sine plus cosine and sine squared plus cosine squared both equal 1?
No, they do not.
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)
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.
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!
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.
How trigonometry is used in physics?
Physics deals with many vectors: displacement, velocity, acceleration, forces and so on. Trigonometry is required if dealing with two or more forces unless they are all parallel.
How do you find the length of the longest side on a right angle triangle?
A squared+ B squared=C squared. find the square root of the answer and you get the longest side.
Where is the location of the alps?
The Alps are a mountain range located in Europe. They pass through Switzerland, Austria, Slovenia, Germany, Italy, France, Liechtenstein, Germany, and Monaco.
How do you prove the diagonals of an isosceles triangle congruent?
You can't because triangles do not have diagonals but an isosceles triangle has 2 equal sides
How do you solve sine theta equal to negative one half?
Consider angles in standard position, and note that for the equation sin θ = 0.5, the angle in the first quadrant is θ = 30°
The sin function is positive in quadrants I and II, and negative in quadrants III and IV, so there are two basic answers, one in quadrant III and another in quadrant IV.
In quadrant III, the angle is 180° + 30° = 210°
In quadrant IV, the angle is 360° - 30° = 330°
Of course, this is a wave function so there are an infinite number of answers. You can add full circles (i.e. multiples of 360°) to either of these answers to get more answers.
In quadrant III, the angles are 210°, 570°, 930°, ...
In quadrant IV, the angles are 330°, 690°, 1050°, ...
How do you make woking models of mathematics?
Make sure you follow all of the rules of the field of mathematics for which you are making the model.
Can pi be expressed as a right triangle?
you can see one answer in this issue : " right triangle in wich the sum of the legs is close to pi" available through google search .
How could you describe the sine function?
You may have to draw this to understand the Sine function for a right triangle (degree mode on a calculator).
Draw a right triangle. Choose either angle (not the right angle, < div> C)) which will be referred to as < (Angle
The "Hypotenuse" is the longest side (IE. the side opposite Sine is a function used so that if you know the Hypotenuse or the Opposite side's length, and the angle, you can find the one you do not have. Sine(A) = Opposite/Hypotenuse. No, that does not mean all you have to do is divide the two. You have put in your calculator (yes, you need a calculator for this. It's impossible without it. Sine is sin on a calculator.) sin(A) = Opposite/Hypotenuse. On paper, it's Sine(A) = O/H. You replace the one you do not know as X.
cos (78 degrees) = 0.20791 (rounded)
cos (78 radians) = -0.85780 (rounded)
cos (78 grads) = 0.33874 (rounded)
Where did the word happiness come from?
Happiness (15th century) is a form of the Middle English word happy (14th century)
