Sin A - Sin B Calculator

✖Angle A of Trigonometry is the value of the variable angle used to calculate Trigonometric Identities.ⓘ Angle A of Trigonometry [A]			+10% -10%
✖Angle B of Trigonometry is the value of the variable angle used to calculate Trigonometric Identities.ⓘ Angle B of Trigonometry [B]			+10% -10%

✖Sin A - Sin B is the difference between the values of trigonometric sine functions of angle A and angle B.ⓘ Sin A - Sin B [sin A ^_ sin B]

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Formula

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Sin A - Sin B

Formula

`("sin A "^{"_"}" sin B") = 2*cos(("A"+"B")/2)*sin(("A"-"B")/2)`

Example

`"-0.15798"=2*cos(("20°"+"30°")/2)*sin(("20°"-"30°")/2)`

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Download Product to Sum, Sum to Product, Sum & Difference Trigonometry Identities Formulas PDF PDF Image

Sin A - Sin B Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
sin A ^_ sin B = 2*cos((A+B)/2)*sin((A-B)/2)
This formula uses 2 Functions, 3 Variables

Functions Used

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., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Sin A - Sin B - Sin A - Sin B is the difference between the values of trigonometric sine functions of angle A and angle B.
Angle A of Trigonometry - (Measured in Radian) - Angle A of Trigonometry is the value of the variable angle used to calculate Trigonometric Identities.
Angle B of Trigonometry - (Measured in Radian) - Angle B of Trigonometry is the value of the variable angle used to calculate Trigonometric Identities.

STEP 1: Convert Input(s) to Base Unit

Angle A of Trigonometry: 20 Degree --> 0.3490658503988 Radian (Check conversion here)
Angle B of Trigonometry: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

sin A ^_ sin B = 2*cos((A+B)/2)*sin((A-B)/2) --> 2*cos((0.3490658503988+0.5235987755982)/2)*sin((0.3490658503988-0.5235987755982)/2)

Evaluating ... ...

sin A ^_ sin B = -0.157979856674308

STEP 3: Convert Result to Output's Unit

-0.157979856674308 --> No Conversion Required

FINAL ANSWER

-0.157979856674308 ≈ -0.15798 <-- Sin A - Sin B

(Calculation completed in 00.004 seconds)

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Credits

Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

Dhruv Walia has created this Calculator and 1100+ more calculators!

Verified by Nikhil

Mumbai University (DJSCE), Mumbai

Nikhil has verified this Calculator and 300+ more calculators!

< 8 Sum to Product Trigonometry Identities Calculators

Cos A - Cos B

Go Cos A - Cos B = -2*sin((Angle A of Trigonometry+Angle B of Trigonometry)/2)*sin((Angle A of Trigonometry-Angle B of Trigonometry)/2)

Sin A - Sin B

Go 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)

Sin A + Sin B

Go Sin A + Sin B = 2*sin((Angle A of Trigonometry+Angle B of Trigonometry)/2)*cos((Angle A of Trigonometry-Angle B of Trigonometry)/2)

Cos A + Cos B

Go Cos A + Cos B = 2*cos((Angle A of Trigonometry+Angle B of Trigonometry)/2)*cos((Angle A of Trigonometry-Angle B of Trigonometry)/2)

Cot A - Cot B

Go Cot A - Cot B = -(Sin A*Cos B-Cos A*Sin B)/(Sin A*Sin B)

Tan A + Tan B

Go Tan A + Tan B = Sin (A+B)/(Cos A*Cos B)

Tan A - Tan B

Go Tan A - Tan B = Sin (A-B)/(Cos A*Cos B)

Cot A + Cot B

Go Cot A + Cot B = Sin (A+B)/(Sin A*Sin B)

Sin A - Sin B 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)
sin A ^_ sin B = 2*cos((A+B)/2)*sin((A-B)/2)

What is Trigonometry?

Trigonometry is the branch of mathematics that deals with the relationships between the angles and sides of triangles, particularly right triangles. It is used to study and describe properties such as lengths, angles, and areas of triangles, as well as the relationships between these properties and the properties of circles and other geometric shapes. Trigonometry is used in many fields, including physics, engineering, and navigation.

How to Calculate Sin A - Sin B?

Sin A - Sin B calculator 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 calculate 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 calculate Sin A - Sin B using this online calculator? To use this online calculator for Sin A - Sin B, enter Angle A of Trigonometry (A) & Angle B of Trigonometry (B) and hit the calculate button. Here is how the Sin A - Sin B calculation can be explained with given input values -> -0.15798 = 2*cos((0.3490658503988+0.5235987755982)/2)*sin((0.3490658503988-0.5235987755982)/2).

FAQ

What is 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 and is represented as sin A ^_ sin B = 2*cos((A+B)/2)*sin((A-B)/2) or 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). Angle A of Trigonometry is the value of the variable angle used to calculate Trigonometric Identities & Angle B of Trigonometry is the value of the variable angle used to calculate Trigonometric Identities.

How to calculate 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 is calculated using 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 calculate Sin A - Sin B, you need Angle A of Trigonometry (A) & Angle B of Trigonometry (B). With our tool, you need to enter the respective value for Angle A of Trigonometry & Angle B of Trigonometry 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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