✖The Area of Triangle is the amount of region or space occupied by the Triangle.ⓘ Area of Triangle [A]			+10% -10%
✖The Side A of Triangle is the length of the side A, of the three sides of the triangle. In other words, the side A of the Triangle is the side opposite to the angle A.ⓘ Side A of Triangle [S_a]			+10% -10%
✖The Side B of Triangle is the length of the side B of the three sides. In other words, the side Bof the Triangle is the side opposite to the angle B.ⓘ Side B of Triangle [S_b]			+10% -10%
✖Sin (C/2) is the value of the trigonometric sine function of half of the given angle C of the triangle.ⓘ Sin (C/2) [sin_(C/2)]			+10% -10%

✖Cos (C/2) is the value of the trigonometric cosine function of half of the given angle C of the triangle.ⓘ Cos (C/2) given Sides A and B and Sin (C/2) [cos_(C/2)]

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Formula

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Cos (C/2) given Sides A and B and Sin (C/2)

Formula

`"cos"_{"(C/2)"} = "A"/("S"_{"a"}*"S"_{"b"}*"sin"_{"(C/2)"})`

Example

`"0.566202"="65m²"/("10m"*"14m"*"0.82")`

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Cos (C/2) given Sides A and B and Sin (C/2) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cos (C/2) = Area of Triangle/(Side A of Triangle*Side B of Triangle*Sin (C/2))
cos_(C/2) = A/(S_a*S_b*sin_(C/2))
This formula uses 5 Variables

Variables Used

Cos (C/2) - Cos (C/2) is the value of the trigonometric cosine function of half of the given angle C of the triangle.
Area of Triangle - (Measured in Square Meter) - The Area of Triangle is the amount of region or space occupied by the Triangle.
Side A of Triangle - (Measured in Meter) - The Side A of Triangle is the length of the side A, of the three sides of the triangle. In other words, the side A of the Triangle is the side opposite to the angle A.
Side B of Triangle - (Measured in Meter) - The Side B of Triangle is the length of the side B of the three sides. In other words, the side Bof the Triangle is the side opposite to the angle B.
Sin (C/2) - Sin (C/2) is the value of the trigonometric sine function of half of the given angle C of the triangle.

STEP 1: Convert Input(s) to Base Unit

Area of Triangle: 65 Square Meter --> 65 Square Meter No Conversion Required
Side A of Triangle: 10 Meter --> 10 Meter No Conversion Required
Side B of Triangle: 14 Meter --> 14 Meter No Conversion Required
Sin (C/2): 0.82 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

cos_(C/2) = A/(S_a*S_b*sin_(C/2)) --> 65/(10*14*0.82)

Evaluating ... ...

cos_(C/2) = 0.566202090592335

STEP 3: Convert Result to Output's Unit

0.566202090592335 --> No Conversion Required

FINAL ANSWER

0.566202090592335 ≈ 0.566202 <-- Cos (C/2)

(Calculation completed in 00.004 seconds)

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< 9 Trigonometric Ratios of Half Angles using Area of the Triangle Calculators

Sin (A/2) given Sides B and C and Sec (A/2)

Go Sin (A/2) = (Area of Triangle*Sec (A/2))/(Side B of Triangle*Side C of Triangle)

Sin (B/2) given Sides A and C and Sec (B/2)

Go Sin (B/2) = (Area of Triangle*Sec (B/2))/(Side A of Triangle*Side C of Triangle)

Sin (C/2) given Sides A and B and Sec (C/2)

Go Sin (C/2) = (Area of Triangle*Sec (C/2))/(Side A of Triangle*Side B of Triangle)

Sin (A/2) given Sides B and C and Cos (A/2)

Go Sin (A/2) = Area of Triangle/(Side B of Triangle*Side C of Triangle*Cos (A/2))

Sin (B/2) given Sides A and C and Cos (B/2)

Go Sin (B/2) = Area of Triangle/(Side A of Triangle*Side C of Triangle*Cos (B/2))

Sin (C/2) given Sides A and B and Cos (C/2)

Go Sin (C/2) = Area of Triangle/(Side A of Triangle*Side B of Triangle*Cos (C/2))

Cos (A/2) given Sides B and C and Sin (A/2)

Go Cos (A/2) = Area of Triangle/(Side B of Triangle*Side C of Triangle*Sin (A/2))

Cos (B/2) given Sides A and C and Sin (B/2)

Go Cos (B/2) = Area of Triangle/(Side A of Triangle*Side C of Triangle*Sin (B/2))

Cos (C/2) given Sides A and B and Sin (C/2)

Go Cos (C/2) = Area of Triangle/(Side A of Triangle*Side B of Triangle*Sin (C/2))

Cos (C/2) given Sides A and B and Sin (C/2) Formula

Cos (C/2) = Area of Triangle/(Side A of Triangle*Side B of Triangle*Sin (C/2))
cos_(C/2) = A/(S_a*S_b*sin_(C/2))

What is a Triangle?

The Triangle is the type of polygon, which have three sides and three vertices. This is a two-dimensional figure with three straight sides. A triangle is considered a 3-sided polygon. The sum of all the three angles of a triangle is equal to 180°. The triangle is contained in a single plane. Based on its sides and angle measurement, the triangle has six types.

How to Calculate Cos (C/2) given Sides A and B and Sin (C/2)?

Cos (C/2) given Sides A and B and Sin (C/2) calculator uses Cos (C/2) = Area of Triangle/(Side A of Triangle*Side B of Triangle*Sin (C/2)) to calculate the Cos (C/2), The Cos (C/2) given Sides A and B and Sin (C/2) formula is defined as value of cos C/2 using area of the triangle, the sides A & B and the trigonometric half ratio Sin C/2. Cos (C/2) is denoted by cos_(C/2) symbol.

How to calculate Cos (C/2) given Sides A and B and Sin (C/2) using this online calculator? To use this online calculator for Cos (C/2) given Sides A and B and Sin (C/2), enter Area of Triangle (A), Side A of Triangle (S_a), Side B of Triangle (S_b) & Sin (C/2) (sin_(C/2)) and hit the calculate button. Here is how the Cos (C/2) given Sides A and B and Sin (C/2) calculation can be explained with given input values -> 0.566202 = 65/(10*14*0.82).

FAQ

What is Cos (C/2) given Sides A and B and Sin (C/2)?

The Cos (C/2) given Sides A and B and Sin (C/2) formula is defined as value of cos C/2 using area of the triangle, the sides A & B and the trigonometric half ratio Sin C/2 and is represented as cos_(C/2) = A/(S_a*S_b*sin_(C/2)) or Cos (C/2) = Area of Triangle/(Side A of Triangle*Side B of Triangle*Sin (C/2)). The Area of Triangle is the amount of region or space occupied by the Triangle, The Side A of Triangle is the length of the side A, of the three sides of the triangle. In other words, the side A of the Triangle is the side opposite to the angle A, The Side B of Triangle is the length of the side B of the three sides. In other words, the side Bof the Triangle is the side opposite to the angle B & Sin (C/2) is the value of the trigonometric sine function of half of the given angle C of the triangle.

How to calculate Cos (C/2) given Sides A and B and Sin (C/2)?

The Cos (C/2) given Sides A and B and Sin (C/2) formula is defined as value of cos C/2 using area of the triangle, the sides A & B and the trigonometric half ratio Sin C/2 is calculated using Cos (C/2) = Area of Triangle/(Side A of Triangle*Side B of Triangle*Sin (C/2)). To calculate Cos (C/2) given Sides A and B and Sin (C/2), you need Area of Triangle (A), Side A of Triangle (S_a), Side B of Triangle (S_b) & Sin (C/2) (sin_(C/2)). With our tool, you need to enter the respective value for Area of Triangle, Side A of Triangle, Side B of Triangle & Sin (C/2) and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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