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

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✖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 C of Triangle is the length of the side C of the three sides. In other words, side C of the Triangle is the side opposite to angle C.ⓘ Side C of Triangle [S_c]			+10% -10%
✖Sin (B/2) is the value of the trigonometric sine function of half of the given angle A of the triangle.ⓘ Sin (B/2) [sin_(B/2)]			+10% -10%

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

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Formula

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

Formula

cos (B/2) = \frac{A}{S a \cdot S c \cdot sin (B/2)}

Example

0.950292 = \frac{65 m²}{10 m \cdot 20 m \cdot 0.342}

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Cos (B/2) - Cos (B/2) is the value of the trigonometric cosine function of half of the given angle B 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 C of Triangle - (Measured in Meter) - The Side C of Triangle is the length of the side C of the three sides. In other words, side C of the Triangle is the side opposite to angle C.
Sin (B/2) - Sin (B/2) is the value of the trigonometric sine function of half of the given angle A 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 C of Triangle: 20 Meter --> 20 Meter No Conversion Required
Sin (B/2): 0.342 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

cos_(B/2) = A/(S_a*S_c*sin_(B/2)) --> 65/(10*20*0.342)

Evaluating ... ...

cos_(B/2) = 0.950292397660819

STEP 3: Convert Result to Output's Unit

0.950292397660819 --> No Conversion Required

FINAL ANSWER

0.950292397660819 ≈ 0.950292 <-- Cos (B/2)

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 2D Geometry » Triangle » Trigonometric Ratios of Half Angles using Area of the Triangle » Cos (B/2) given Sides A and C and Sin (B/2)

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Created by Surjojoti Som

Rashtreeya Vidyalaya College of Engineering (RVCE), Bangalore

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Indian Institute of Technology, Kharagpur (IIT KGP), West Bengal

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< 5 Trigonometric Ratios of Half Angles using Area of the Triangle Calculators

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

Cos (B/2) = Area of Triangle/(Side A of Triangle*Side C of Triangle*Sin (B/2))
cos_(B/2) = A/(S_a*S_c*sin_(B/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 (B/2) given Sides A and C and Sin (B/2)?

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

How to calculate Cos (B/2) given Sides A and C and Sin (B/2) using this online calculator? To use this online calculator for Cos (B/2) given Sides A and C and Sin (B/2), enter Area of Triangle (A), Side A of Triangle (S_a), Side C of Triangle (S_c) & Sin (B/2) (sin_(B/2)) and hit the calculate button. Here is how the Cos (B/2) given Sides A and C and Sin (B/2) calculation can be explained with given input values -> 0.950292 = 65/(10*20*0.342).

FAQ

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

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

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

The Cos (B/2) given Sides A and C and Sin (B/2) formula is defined as value of cos B/2 using area of the triangle, the sides A & C and the trigonometric half ratio Sin B/2 is calculated using Cos (B/2) = Area of Triangle/(Side A of Triangle*Side C of Triangle*Sin (B/2)). To calculate Cos (B/2) given Sides A and C and Sin (B/2), you need Area of Triangle (A), Side A of Triangle (S_a), Side C of Triangle (S_c) & Sin (B/2) (sin_(B/2)). With our tool, you need to enter the respective value for Area of Triangle, Side A of Triangle, Side C of Triangle & Sin (B/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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