If the angles are the same and the sides are proportional by ratio then they are said to be similar triangles.
Sin, Cos and Tan is the formula for sine. A right-angled triangle is a triangle in which one of the angles is a right-angle. The hypotenuse of a right angled triangle is the longest side, which is the one opposite the right angle. The adjacent side is the side which is between the angle in question and the right angle.
What is the exact value of tan 60 degrees?
The exact value of 60 degrees would be 1/2. This is a math problem.
The domain of cosine is all real numbers, its range is [-1,1], and its period is 2π radians.
How do you prove that 2 sin 3x divided by sin x plus 2 cos 3x divided by cos x equals 8 cos 2x?
You need to know the trigonometric formulae for sin and cos of compound angles.
sin(x+y) = sin(x)*cos(y)+cos(x)*sin(y)
and
cos(x+y) = cos(x)*cos(y) - sin(x)*sin(y)
Using these, y = x implies that
sin(2x) = sin(x+x) = 2*sin(x)cos(x)
and
cos(2x) = cos(x+x) = cos^2(x) - sin^2(x)
Next, the triple angle formulae are:
sin(3x) = sin(2x + x) = 3*sin(x) - 4*sin^3(x)
and
cos(3x) = 4*cos^3(x) - 3*cos(x)
Then the left hand side
= 2*[3*sin(x) - 4*sin^3(x)]/sin(x) + 2*[4*cos^3(x) - 3*cos(x)]/cos(x)
= 6 - 8*sin^2(x) + 8cos^2(x) - 6
= 8*[cos^2(x) - sin^2(x)]
= 8*cos(2x) = right hand side.
What is the correct trigonometric ratio is for tan?
For a right angle triangle the trigonometrical ration is: tangent = opposite/adjacent
What is one fourth of a rotation going counterclockwise?
1/4 of 360 degrees = 90 degrees which is a right angle
How do calculators calculate Sin Cos and Tan of an angle without side lengths?
The relationship between an angle and the triangle formed by it is always constant. This is also why sin cos and tan obtained from the unit circle can be applied to all triangles with the same angle. All that matters is the ratio of the sides, so the calculator can "pick" any length for one side, and use that and the angle to find the other side(s). This answer will be the same regardless of which triangle you are specifically referring to. Side lengths 3 and 5 will produce the same trig values as sides 21 and 35. Also, given the processing power of most calculators, these values are often programmed in, similar to how many students are "programmed" to know the trig values for major angles such as pi, pi/4, 30deg, and 60deg.
What is the formula for sine function?
In a right triangle, its Opposite/Hypotenuse I always use: Soh (sin, opposite/hypotenuse) Cah (cosine, adjacent/hypotenuse) Toa (tangent, opposite/adjacent) Hope this helped! :)
Why is the cos of 60 degrees 0.5?
Because if you construct a right triangle in which the acute angles are 30° and 60°,
you'll find that the side adjacent to the 60° angle is 1/2 the length of the hypotenuse,
which is how you apply the definition of the cosine.
Where can a trigonometry calculator be purchased from?
A calculator for trigonometry can be purchased from WalMart, Target, Staples, Best Buy, Amazon, eBay, Radio Shack, Engineer Supply, from an iTunes app, and from Web Crawler.
How do you convert degree minutes seconds into decimal degree?
Some scientific caculators can convert degrees minutes and seconds into decimal degrees and vice versa as for example 60045'18'' = 60.755
How do you find the area of an odd figure?
Cut it out of a material whose weight per unit of area you know, weigh it, then divide the weight by the weight per unit of area.
What is sine theta plus 2 cosine squared theta?
I shall use x instead of theta since I cannot be bothered to paste it at each step.
sin(x) + 2*cos2(x) = sin(x) + 2*[1 - sin2(x)] = sin(x) + 2 - 2sin2(x) which cannot be simplified further.
I shall use x instead of theta since I cannot be bothered to paste it at each step.
sin(x) + 2*cos2(x) = sin(x) + 2*[1 - sin2(x)] = sin(x) + 2 - 2sin2(x) which cannot be simplified further.
I shall use x instead of theta since I cannot be bothered to paste it at each step.
sin(x) + 2*cos2(x) = sin(x) + 2*[1 - sin2(x)] = sin(x) + 2 - 2sin2(x) which cannot be simplified further.
I shall use x instead of theta since I cannot be bothered to paste it at each step.
sin(x) + 2*cos2(x) = sin(x) + 2*[1 - sin2(x)] = sin(x) + 2 - 2sin2(x) which cannot be simplified further.
What type of triangle have 3 equal sides and 3 equal angles?
An equilateral triangle has three equal sides and three equal angles. Each angle is 60 degrees.
Is sin squared theta and sin theta squared the same?
Your question is insufficiently precise, but I'll try to answer anyway.
"Sine squared theta" usually means "the value of the sine of theta, quantity squared".
"Sine theta squared" usually means "the value of the sine of the quantity theta*theta".
The two are not at all the same.
What is the functions of plicae circulares?
The plicae circulares slow down the food passing along the intestines. Because of their shape there is an increase in the surface area between the food and the walls on the intestines which allows more efficient absorption of nutrients from the chyme - the stuff that comes from the stomach.
What quadrant does angle - 980 degrees lie in?
The answer is 3rd quadrant because 980 degree -720 degree =260 degrees so the 3rd quadrant is 180 degrees to 270 degrees
How do astronomers use trigonometry?
One example of an astronomer's use of trigonometry is determining the distance to a star by triangulation.
What are two absolute value equations that share a vertex?
In math a normal absolute value equations share a vertex.
How do you label sides of a right angle triangle?
A right angle triangle has an hypotenuse which is its longest side, an adjacent side and an opposite side.
The tan of a 28 degree angle equals?
To get this answer, type in tan(28) in your calculator. It should come out to be about .532. Make sure your calculator is in Degree mode.