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Sin (B/2) is the value of the trigonometric sine function of half of the given angle A of the triangle. Check FAQs
sin(B/2)=ASa⋅Sc⋅cos(B/2)
sin(B/2) - Sin (B/2)?A - Area of Triangle?Sa - Side A of Triangle?Sc - Side C of Triangle?cos(B/2) - Cos (B/2)?

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

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Here is how the Sin (B/2) given Sides A and C and Cos (B/2) equation looks like with Values.

Here is how the Sin (B/2) given Sides A and C and Cos (B/2) equation looks like with Units.

Here is how the Sin (B/2) given Sides A and C and Cos (B/2) equation looks like.

0.3461Edit=65Edit10Edit⋅20Edit⋅0.939Edit
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Sin (B/2) given Sides A and C and Cos (B/2) Solution

Follow our step by step solution on how to calculate Sin (B/2) given Sides A and C and Cos (B/2)?

FIRST Step Consider the formula
sin(B/2)=ASa⋅Sc⋅cos(B/2)
Next Step Substitute values of Variables
∴ sin(B/2)=65m²10m⋅20m⋅0.939
Next Step Prepare to Evaluate
∴ sin(B/2)=6510⋅20⋅0.939
Next Step Evaluate
∴sin(B/2)=0.346112886048988
LAST Step Rounding Answer
∴sin(B/2)=0.3461

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

Variables
Sin (B/2)
Sin (B/2) is the value of the trigonometric sine function of half of the given angle A of the triangle.
Symbol: sin(B/2)
Measurement: NAUnit: Unitless
Note: Value should be between -1.01 to 1.01.
Formulas to find Sin (B/2)Open Variable
Area of Triangle
The Area of Triangle is the amount of region or space occupied by the Triangle.
Symbol: A
Measurement: AreaUnit: m²
Note: Value should be greater than 0.
Formulas to find Area of TriangleOpen Variable
Side A of 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.
Symbol: Sa
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Side A of TriangleOpen Variable
Side C of Triangle
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.
Symbol: Sc
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Side C of TriangleOpen Variable
Cos (B/2)
Cos (B/2) is the value of the trigonometric cosine function of half of the given angle B of the triangle.
Symbol: cos(B/2)
Measurement: NAUnit: Unitless
Note: Value should be between -1.01 to 1.01.
Formulas to find Cos (B/2)Open Variable

Other Formulas to find Sin (B/2)

​Go Sin (B/2) given Sides A and C and Sec (B/2)
sin(B/2)=A⋅sec(B/2)Sa⋅Sc

Other formulas in Trigonometric Ratios of Half Angles using Area of the Triangle category

​Go Sin (A/2) given Sides B and C and Cos (A/2)
sin(A/2)=ASb⋅Sc⋅cos(A/2)
​Go Sin (C/2) given Sides A and B and Cos (C/2)
sin(C/2)=ASa⋅Sb⋅cos(C/2)
​Go Cos (A/2) given Sides B and C and Sin (A/2)
cos(A/2)=ASb⋅Sc⋅sin(A/2)
​Go Cos (B/2) given Sides A and C and Sin (B/2)
cos(B/2)=ASa⋅Sc⋅sin(B/2)

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

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

How to evaluate Sin (B/2) given Sides A and C and Cos (B/2) using this online evaluator? To use this online evaluator for Sin (B/2) given Sides A and C and Cos (B/2), enter Area of Triangle (A), Side A of Triangle (Sa), Side C of Triangle (Sc) & Cos (B/2) (cos(B/2)) and hit the calculate button.

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

What is the formula to find Sin (B/2) given Sides A and C and Cos (B/2)?
The formula of Sin (B/2) given Sides A and C and Cos (B/2) is expressed as Sin (B/2) = Area of Triangle/(Side A of Triangle*Side C of Triangle*Cos (B/2)). Here is an example- 0.346113 = 65/(10*20*0.939).
How to calculate Sin (B/2) given Sides A and C and Cos (B/2)?
With Area of Triangle (A), Side A of Triangle (Sa), Side C of Triangle (Sc) & Cos (B/2) (cos(B/2)) we can find Sin (B/2) given Sides A and C and Cos (B/2) using the formula - Sin (B/2) = Area of Triangle/(Side A of Triangle*Side C of Triangle*Cos (B/2)).
What are the other ways to Calculate Sin (B/2)?
Here are the different ways to Calculate Sin (B/2)-
  • Sin (B/2)=(Area of Triangle*Sec (B/2))/(Side A of Triangle*Side C of Triangle)OpenImg
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