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

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

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

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

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

0.2418Edit=65Edit14Edit20Edit0.96Edit
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Sin (A/2) given Sides B and C and Cos (A/2) Solution

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

FIRST Step Consider the formula
sin(A/2)=ASbSccos(A/2)
Next Step Substitute values of Variables
sin(A/2)=6514m20m0.96
Next Step Prepare to Evaluate
sin(A/2)=6514200.96
Next Step Evaluate
sin(A/2)=0.241815476190476
LAST Step Rounding Answer
sin(A/2)=0.2418

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

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

Other Formulas to find Sin (A/2)

​Go Sin (A/2) given Sides B and C and Sec (A/2)
sin(A/2)=Asec(A/2)SbSc

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

​Go Sin (B/2) given Sides A and C and Cos (B/2)
sin(B/2)=ASaSccos(B/2)
​Go Sin (C/2) given Sides A and B and Cos (C/2)
sin(C/2)=ASaSbcos(C/2)
​Go Cos (A/2) given Sides B and C and Sin (A/2)
cos(A/2)=ASbScsin(A/2)
​Go Cos (B/2) given Sides A and C and Sin (B/2)
cos(B/2)=ASaScsin(B/2)

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

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

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

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

What is the formula to find Sin (A/2) given Sides B and C and Cos (A/2)?
The formula of Sin (A/2) given Sides B and C and Cos (A/2) is expressed as Sin (A/2) = Area of Triangle/(Side B of Triangle*Side C of Triangle*Cos (A/2)). Here is an example- 0.241815 = 65/(14*20*0.96).
How to calculate Sin (A/2) given Sides B and C and Cos (A/2)?
With Area of Triangle (A), Side B of Triangle (Sb), Side C of Triangle (Sc) & Cos (A/2) (cos(A/2)) we can find Sin (A/2) given Sides B and C and Cos (A/2) using the formula - Sin (A/2) = Area of Triangle/(Side B of Triangle*Side C of Triangle*Cos (A/2)).
What are the other ways to Calculate Sin (A/2)?
Here are the different ways to Calculate Sin (A/2)-
  • Sin (A/2)=(Area of Triangle*Sec (A/2))/(Side B of Triangle*Side C of Triangle)OpenImg
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