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Sin A - Sin B Formula

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Sin A - Sin B is the difference between the values of trigonometric sine functions of angle A and angle B. Check FAQs

sin A_sin B = 2 \cdot \cos (\frac{A + B}{2}) \cdot \sin (\frac{A - B}{2})

sin A ^_ sin B - Sin A - Sin B?A - Angle A of Trigonometry?B - Angle B of Trigonometry?

Sin A - Sin B Example

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Here is how the Sin A - Sin B equation looks like with Values.

Here is how the Sin A - Sin B equation looks like with Units.

Here is how the Sin A - Sin B equation looks like.

-0.158 = 2 \cdot \cos (\frac{20 + 30}{2}) \cdot \sin (\frac{20 - 30}{2})

-0.158 = 2 \cdot \cos (\frac{20° + 30°}{2}) \cdot \sin (\frac{20° - 30°}{2})

-0.158 = 2 \cdot \cos (\frac{20 + 30}{2}) \cdot \sin (\frac{20 - 30}{2})

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Sin A - Sin B Solution

Follow our step by step solution on how to calculate Sin A - Sin B?

FIRST Step Consider the formula

sin A_sin B = 2 \cdot \cos (\frac{A + B}{2}) \cdot \sin (\frac{A - B}{2})

Next Step Substitute values of Variables

∴

sin A_sin B = 2 \cdot \cos (\frac{20° + 30°}{2}) \cdot \sin (\frac{20° - 30°}{2})

Next Step Convert Units

∴

sin A_sin B = 2 \cdot \cos (\frac{0.3491rad + 0.5236rad}{2}) \cdot \sin (\frac{0.3491rad - 0.5236rad}{2})

Next Step Prepare to Evaluate

∴

sin A_sin B = 2 \cdot \cos (\frac{0.3491 + 0.5236}{2}) \cdot \sin (\frac{0.3491 - 0.5236}{2})

Next Step Evaluate

∴

sin A_sin B = -0.157979856674308

LAST Step Rounding Answer

∴

sin A_sin B = -0.158

Sin A - Sin B Formula Elements

Variables

Functions

Sin A - Sin B

Sin A - Sin B is the difference between the values of trigonometric sine functions of angle A and angle B.

Symbol: sin A ^_ sin B

Measurement: NAUnit: Unitless

Note: Value should be between -2.01 to 2.01.

Formulas to find Sin A - Sin B

Angle A of Trigonometry

Angle A of Trigonometry is the value of the variable angle used to calculate Trigonometric Identities.

Symbol: A

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Angle A of Trigonometry

Angle B of Trigonometry

Angle B of Trigonometry is the value of the variable angle used to calculate Trigonometric Identities.

Symbol: B

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Angle B of Trigonometry

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Sum to Product Trigonometry Identities category

Go Cos A - Cos B

cos A_cos B = - 2 \cdot \sin (\frac{A + B}{2}) \cdot \sin (\frac{A - B}{2})

Go Sin A + Sin B

sin A + sin B = 2 \cdot \sin (\frac{A + B}{2}) \cdot \cos (\frac{A - B}{2})

Go Cos A + Cos B

cos A + cos B = 2 \cdot \cos (\frac{A + B}{2}) \cdot \cos (\frac{A - B}{2})

Go Tan A + Tan B

Tan A + Tan B = \frac{sin (A+B)}{cos A \cdot cos B}

How to Evaluate Sin A - Sin B?

Sin A - Sin B evaluator uses Sin A - Sin B = 2*cos((Angle A of Trigonometry+Angle B of Trigonometry)/2)*sin((Angle A of Trigonometry-Angle B of Trigonometry)/2) to evaluate the Sin A - Sin B, The Sin A - Sin B formula is defined as the difference between values of trigonometric sine functions of angle A and angle B. Sin A - Sin B is denoted by sin A ^_ sin B symbol.

How to evaluate Sin A - Sin B using this online evaluator? To use this online evaluator for Sin A - Sin B, enter Angle A of Trigonometry (A) & Angle B of Trigonometry (B) and hit the calculate button.

FAQs on Sin A - Sin B

What is the formula to find Sin A - Sin B?

The formula of Sin A - Sin B is expressed as Sin A - Sin B = 2*cos((Angle A of Trigonometry+Angle B of Trigonometry)/2)*sin((Angle A of Trigonometry-Angle B of Trigonometry)/2). Here is an example- -0.15798 = 2*cos((0.3490658503988+0.5235987755982)/2)*sin((0.3490658503988-0.5235987755982)/2).

How to calculate Sin A - Sin B?

With Angle A of Trigonometry (A) & Angle B of Trigonometry (B) we can find Sin A - Sin B using the formula - Sin A - Sin B = 2*cos((Angle A of Trigonometry+Angle B of Trigonometry)/2)*sin((Angle A of Trigonometry-Angle B of Trigonometry)/2). This formula also uses Sine (sin), Cosine (cos) function(s).

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