✖The Area of Triangle is the amount of region or space occupied by the Triangle.ⓘ Area of Triangle [A]			+10% -10%
✖Sec (A/2) is the value of the trigonometric secant function of half of the given angle A of the triangle.ⓘ Sec (A/2) [sec_(A/2)]			+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%
✖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 (A/2) is the value of the trigonometric sine function of half of the given angle A of the triangle.ⓘ Sin (A/2) given Sides B and C and Sec (A/2) [sin_(A/2)]

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Formula

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

Formula

`"sin"_{"(A/2)"} = ("A"*"sec"_{"(A/2)"})/("S"_{"b"}*"S"_{"c"})`

Example

`"0.240268"=("65m²"*"1.035")/("14m"*"20m")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Sin (A/2) = (Area of Triangle*Sec (A/2))/(Side B of Triangle*Side C of Triangle)
sin_(A/2) = (A*sec_(A/2))/(S_b*S_c)
This formula uses 5 Variables

Variables Used

Sin (A/2) - Sin (A/2) is the value of the trigonometric sine function of half of the given angle A 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.
Sec (A/2) - Sec (A/2) is the value of the trigonometric secant function of half of the given angle A of the triangle.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Area of Triangle: 65 Square Meter --> 65 Square Meter No Conversion Required
Sec (A/2): 1.035 --> No Conversion Required
Side B of Triangle: 14 Meter --> 14 Meter No Conversion Required
Side C of Triangle: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

sin_(A/2) = (A*sec_(A/2))/(S_b*S_c) --> (65*1.035)/(14*20)

Evaluating ... ...

sin_(A/2) = 0.240267857142857

STEP 3: Convert Result to Output's Unit

0.240267857142857 --> No Conversion Required

FINAL ANSWER

0.240267857142857 ≈ 0.240268 <-- Sin (A/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))

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

Sin (A/2) = (Area of Triangle*Sec (A/2))/(Side B of Triangle*Side C of Triangle)
sin_(A/2) = (A*sec_(A/2))/(S_b*S_c)

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

Sin (A/2) given Sides B and C and Sec (A/2) calculator uses Sin (A/2) = (Area of Triangle*Sec (A/2))/(Side B of Triangle*Side C of Triangle) to calculate the Sin (A/2), The Sin (A/2) given Sides B and C and Sec (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 Sec A/2. Sin (A/2) is denoted by sin_(A/2) symbol.

How to calculate Sin (A/2) given Sides B and C and Sec (A/2) using this online calculator? To use this online calculator for Sin (A/2) given Sides B and C and Sec (A/2), enter Area of Triangle (A), Sec (A/2) (sec_(A/2)), Side B of Triangle (S_b) & Side C of Triangle (S_c) and hit the calculate button. Here is how the Sin (A/2) given Sides B and C and Sec (A/2) calculation can be explained with given input values -> 0.240268 = (65*1.035)/(14*20).

FAQ

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

The Sin (A/2) given Sides B and C and Sec (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 Sec A/2 and is represented as sin_(A/2) = (A*sec_(A/2))/(S_b*S_c) or Sin (A/2) = (Area of Triangle*Sec (A/2))/(Side B of Triangle*Side C of Triangle). The Area of Triangle is the amount of region or space occupied by the Triangle, Sec (A/2) is the value of the trigonometric secant function of half of the given angle A of the 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 & 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.

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

The Sin (A/2) given Sides B and C and Sec (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 Sec A/2 is calculated using Sin (A/2) = (Area of Triangle*Sec (A/2))/(Side B of Triangle*Side C of Triangle). To calculate Sin (A/2) given Sides B and C and Sec (A/2), you need Area of Triangle (A), Sec (A/2) (sec_(A/2)), Side B of Triangle (S_b) & Side C of Triangle (S_c). With our tool, you need to enter the respective value for Area of Triangle, Sec (A/2), Side B of Triangle & Side C of Triangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Sin (A/2)?

In this formula, Sin (A/2) uses Area of Triangle, Sec (A/2), Side B of Triangle & Side C of Triangle. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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