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Cos(x) = 1 - x2/2! + x4/4! - x6/6! + ... where x is measured in radians

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โˆ™ 2009-12-02 14:31:09
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Q: What is the formula for cos without hypotenuse?
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Related questions

What is the hypotenuse of the right triangle if the angle measures are 90 degrees 70 degrees and 20 degrees and one leg length is 850?

It depends on which leg is 850... If the leg on the bottom is 850, then you do 850/cos(20) (which gives you 904.55), if it is the leg on the side, then you do 850/sin(20) (which gives you 2485.233). You get this by solving for the formula Cos(Angle)=Adjacent/Hypotenuse, or Sin(Angle) = Opposite/Hypotenuse.

What is the equation for cosine?

cos = adjacent / hypotenuse

What is the hypotenuse of a right triangle with the adjacent side measuring 4.0 and a degree of 58?

Cos(58) = 4/Hypotenuse so H = 4/Cos(58) = 7.55 units.

How do you find the cos of a triangle?

Adjacent side / Hypotenuse

Can cosine be greater than one?

No. It has to lie in between -1 an +1 inclusive. Cos x = adjecent/hypotenuse and for cos x to be greater than 1, you need the adjacent to be bigger than the hypotenuse. The hypotenuse is always the biggest side.

What Is the value of cos?

Cos is the ratio between adjacent side (of the given angle thieta) to the hypotenuse of the triangle.

What is the trigonometric ratio for Cos?

the adjacent side over the hypotenuse

What is the cos of angle a if the opposite is 5 the adjacent is 12 and the hypotenuse is 13?

It is: cos^-1(12/13) = 22.61986495 degrees

How long must a ladder be to reach the top of a 20 ft wall if the ladder and the wall form a 32 degree angle?

A ladder leaning against a 20ft wall, with an angle of 32 degrees with respect to the wall, must be 24ft long. cos(theta) = adjacent over hypotenuse cos(32) = 20 / hypotenuse hypotenuse = 20 / cos(32) hypotenuse = 23.58

How To Use SohCahToa?

Sin= Opposite/Hypotenuse Cos= Adjacent/Hypotenuse Tan= Opposite/Adjacent

How do you find the length of the hypotenuse?

In a right-angled triangle, the hypotenuse is the longest side, opposite the right-angle. There are two ways of finding the length of the hypotenuse using mathematics: Pythagoras' theorem or trigonometry, but for both you need either two other lengths or an angle. For Pythagoras' theorem, you need the other two lengths. The theorem is a2+b2=c2, or the square root of the sum of two angles squared, where c=the hypotenuse. Let's say that one length is 4.8cm and the other 4cm. 4.82+42=6.22. So, the answer is 6.2cm. If you have one side and one angle, use trigonometry. You will need a calculator for this. Each side of the right-angled triangle has a name corresponding to the positioning of the angle given. The opposite is the side opposite the given angle, the adjacent is the side with the right-angle and the given angle on it, and the hypotenuse is the longest side or the side opposite the right-angle. There are three formulas in trigonometry: sin, cos and tan. Sin is the opposite/hypotenuse; cos is the adjacent/hypotenuse; and tan is the opposite/adjacent. As we are trying to find the hypotenuse, we already have either the opposite or the adjacent, and one angle. Let's say that our angle is 50o and we have the adjacent side, and that is 4cm. So, we have the adjacent and want to know the hypotenuse. The formula with both the adjacent and the hypotenuse in is cos. So, Cos(50o)=4/x where x=hypotenuse. We can single out the x by swapping it with the Cos(50o), so x=4/Cos(50o) -> x=6.22289530744164. This is the length of the hypotenuse, and is more accurate that Pythagoras' theorem.

What are the basic trigonometric ratios?

Sine(Sin) Cosine(Cos) Tangent(Tan) ---- -Sin of angle A=opposite leg of angle A / hypotenuse -Cos of angle A= Adjacent leg of angle A / Hypotenuse -Tan of angle A= opposite leg of angle A / Adjacent lef of angle A

Formula for finding the hypotenuse of a triangle?

The formula of the hypotenuse (the longest side of the triangle) is the other two lengths squared and added together.

What is the cos of angle A if the opposite is 3 and the adjacent is 4 and the hypotenuse is 5?


What is cos of angle a with a hypotenuse of 13 and adjacent of 5 and a opposite of 12?

It is about 67 degrees

How do you find cos ฮธ sec ฮธ cot ฮธ and the hypotenuse of the right triangle with a known sin ฮธ equals 2 over x?

By using the sine ratio, you know two sides of the right triangle (the opposite and hypotenuse) and so can work out the third side (adjacent) using Pythagoras (opposite2 + adjacent2 = hypotenuse2). You can then use the trigonometric ratios to calculate cos θ, sec θ, cot θ, and the hypotenuse you already have. Sin θ = opposite/hypotenuse = 2/x ⇒ opposite = 2, hypotenuse = x, and adjacent = √(x2 - 4) Thus: cos θ = adjacent/hypotenuse = √(x2 - 4)/x sec θ = 1/cos θ = hypotenuse/adjacent = x/√(x2 - 4) cot θ = 1/tan θ = adjacent/opposite = √(x2 - 4)/2 Hypotenuse = x.

How do you find measure of each angle in triangle?

Important Formula: Sin(q) = Opposite / Hypotenuse Cos(q) = Adjacent / Hypotenuse Tan(q) = Opposite / AdjacentSelect what (angle / sides) you want to calculate, then enter the values in the respective rows and click calculate. If you want to calculate hypotenuse enter the values for other sides and angle.

The sine ratio of an angle is the opposite side over the adjacent side?

Opposite over hypotenuse. Sin=opposite/hypotenuse cos=adjacent/hypotenuse tan=opposite/adjacent

What is cos theta?

The side adjacent to theta divided by the hypotenuse, or the angle opposite of the right angle

Find hypotenuse only using adjacent and angle?

Use trigonometry and the cosine ratio: cos = adj/hyp and when rearraged hyp = adj/cos

What formula use to measure the hypotenuse?

base squared times height squared equals the hypotenuse squared. then you know the hypotenuse.

What is the hypotenuse formula?


What is the formula for sine?

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.

If you divide length of the opposite side of an angle in a right triangle by the length of the hypotenuse what value do you get?

You get the sine of the angle. For a right triangle: sin (x) = opposite/hypotenuse cos (x) = adj./hypotenuse tan (x) = opposite/adj

What to do when you have the hypotenuse and angle?

For trigonometry if you have the value of the hypotenuse and the angle, it depends what side you are trying to find. If you are looking for the side across from the angle, the formula is sine(angle)=opposite side divided by hypotenuse. If you are looking for the side adjacent to the angle, the formula is cosine(angle)=adjacent side divided by hypotenuse. Hope this helps!