This tool calculates the sine, cosine, and tangent of compound angles for you.
How to Use the Compound Angle Calculator
Enter two angles (A and B) in degrees in the provided input fields and click on “Calculate” to view the results for sin(A+B), cos(A+B), and tan(A+B).
How It Calculates the Results
The calculator follows the standard compound angle formulas:
- sin(A+B) = sin(A)cos(B) + cos(A)sin(B)
- cos(A+B) = cos(A)cos(B) – sin(A)sin(B)
- tan(A+B) = sin(A+B) / cos(A+B)
It converts the input from degrees to radians and then applies these formulas to compute the result.
Limitations
This calculator has limitations, such as:
- Both angles should be entered in degrees.
- The precision is limited to the floating point arithmetic of JavaScript.
- Does not handle complex numbers or undefined tan results (i.e., when cos(A+B) = 0).
Use Cases for This Calculator
Calculate the sine and cosine of the sum of two angles
With the compound angle calculator, you can easily find the sine and cosine of the sum of two angles. Whether you’re solving trigonometry problems or working on geometry exercises, this tool will provide you with accurate results in just a few clicks.
Determine the tangent of the difference between two angles
By using the compound angle calculator, you can quickly calculate the tangent of the difference between two angles. Save time and effort on manual calculations and ensure your math work is error-free with this convenient tool.
Find the cosine of the double of an angle
Need to calculate the cosine of the double of an angle? The compound angle calculator has got you covered. Whether you’re studying math concepts or preparing for exams, this tool will help you get the desired results instantly.
Compute the sine of the half of an angle
When you want to find the sine of the half of an angle without any hassle, the compound angle calculator is the perfect solution. Streamline your calculations and focus on learning rather than spending time on complex math operations.
Solve for the sum of sines of two angles
By inputting the angles into the compound angle calculator, you can determine the sum of sines of two angles accurately. Say goodbye to manual errors and enjoy the convenience of this efficient tool for all your trigonometry needs.
Calculate the difference of cosines of two angles
Whether you’re an academic professional or a student, the compound angle calculator allows you to calculate the difference of cosines of two angles effortlessly. Improve your mathematical accuracy and speed up your work with this user-friendly tool.
Find the tangent of the half angle using the formula
If you’re looking to find the tangent of the half angle using the relevant formula, the compound angle calculator is here to simplify the process for you. Benefit from quick results and ensure your math calculations are precise and error-free with this handy tool.
Compute the sine of the sum of angles with ease
The compound angle calculator enables you to compute the sine of the sum of angles with ease. Whether you’re handling complex math problems or everyday calculations, this tool provides you with accurate results at your fingertips.
Determine the cosine of the difference of angles swiftly
With the compound angle calculator, determining the cosine of the difference of angles is a breeze. Save time on manual calculations and focus on understanding mathematical concepts with this reliable and efficient tool.
Solve for the tangent of the double of an angle effortlessly
When you need to solve for the tangent of the double of an angle effortlessly, the compound angle calculator is your go-to tool. Enhance your math skills and problem-solving abilities with this intuitive calculator that delivers quick and precise results.