Sin (A+B) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Sin (A+B) = (Sin A*Cos B)+(Cos A*Sin B)
sin(A+B) = (sin A*cos B)+(cos A*sin B)
This formula uses 5 Variables
Variables Used
Sin (A+B) - Sin (A+B) is the value of the trigonometric sine function of the sum of two given angles, angle A and angle B.
Sin A - Sin A is the value of the trigonometric sine function of the angle A.
Cos B - Cos B is the value of the trigonometric cosine function of the angle B.
Cos A - Cos A is the value of the trigonometric cosine function of the angle A.
Sin B - Sin B is the value of the trigonometric sine function of the angle B.
STEP 1: Convert Input(s) to Base Unit
Sin A: 0.34 --> No Conversion Required
Cos B: 0.87 --> No Conversion Required
Cos A: 0.94 --> No Conversion Required
Sin B: 0.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
sin(A+B) = (sin A*cos B)+(cos A*sin B) --> (0.34*0.87)+(0.94*0.5)
Evaluating ... ...
sin(A+B) = 0.7658
STEP 3: Convert Result to Output's Unit
0.7658 --> No Conversion Required
FINAL ANSWER
0.7658 <-- Sin (A+B)
(Calculation completed in 00.020 seconds)

Credits

Creator Image
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!
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Verified by Nikita Kumari
The National Institute of Engineering (NIE), Mysuru
Nikita Kumari has verified this Calculator and 600+ more calculators!

Sum and Difference Trigonometry Identities Calculators

Sin (A+B)
​ LaTeX ​ Go Sin (A+B) = (Sin A*Cos B)+(Cos A*Sin B)
Cos (A+B)
​ LaTeX ​ Go Cos (A+B) = (Cos A*Cos B)-(Sin A*Sin B)
Sin (A-B)
​ LaTeX ​ Go Sin (A-B) = (Sin A*Cos B)-(Cos A*Sin B)
Cos (A-B)
​ LaTeX ​ Go Cos (A-B) = (Cos A*Cos B)+(Sin A*Sin B)

Sin (A+B) Formula

​LaTeX ​Go
Sin (A+B) = (Sin A*Cos B)+(Cos A*Sin B)
sin(A+B) = (sin A*cos B)+(cos A*sin B)

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+B)?

Sin (A+B) calculator uses Sin (A+B) = (Sin A*Cos B)+(Cos A*Sin B) to calculate the Sin (A+B), The Sin (A+B) formula is defined as the value of the trigonometric sine function of the sum of two given angles, angle A and angle B. Sin (A+B) is denoted by sin(A+B) symbol.

How to calculate Sin (A+B) using this online calculator? To use this online calculator for Sin (A+B), enter Sin A (sin A), Cos B (cos B), Cos A (cos A) & Sin B (sin B) and hit the calculate button. Here is how the Sin (A+B) calculation can be explained with given input values -> 0.8598 = (0.34*0.87)+(0.94*0.5).

FAQ

What is Sin (A+B)?
The Sin (A+B) formula is defined as the value of the trigonometric sine function of the sum of two given angles, angle A and angle B and is represented as sin(A+B) = (sin A*cos B)+(cos A*sin B) or Sin (A+B) = (Sin A*Cos B)+(Cos A*Sin B). Sin A is the value of the trigonometric sine function of the angle A, Cos B is the value of the trigonometric cosine function of the angle B, Cos A is the value of the trigonometric cosine function of the angle A & Sin B is the value of the trigonometric sine function of the angle B.
How to calculate Sin (A+B)?
The Sin (A+B) formula is defined as the value of the trigonometric sine function of the sum of two given angles, angle A and angle B is calculated using Sin (A+B) = (Sin A*Cos B)+(Cos A*Sin B). To calculate Sin (A+B), you need Sin A (sin A), Cos B (cos B), Cos A (cos A) & Sin B (sin B). With our tool, you need to enter the respective value for Sin A, Cos B, Cos A & Sin B 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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