Sin Tan Cos A B Calculator in Degrees

This calculator computes the sine, tangent, and cosine of two angles (a and b) in degrees. It's useful for trigonometric calculations in geometry, physics, and engineering. The results are displayed with 4 decimal places for precision.

How to Use This Calculator

Enter the two angles (a and b) in degrees in the input fields. The calculator will compute the sine, tangent, and cosine for each angle. You can also visualize the results on a chart.

Note: Angles are automatically converted from degrees to radians for trigonometric calculations.

Formula Explained

The calculator uses the following trigonometric functions:

sin(θ) = sine of angle θ

tan(θ) = tangent of angle θ = sin(θ)/cos(θ)

cos(θ) = cosine of angle θ

Where θ is the angle in radians (converted from degrees).

Worked Examples

Example 1: 30° and 60°

For angle a = 30°:

sin(30°) = 0.5
tan(30°) ≈ 0.577
cos(30°) ≈ 0.866

For angle b = 60°:

sin(60°) ≈ 0.866
tan(60°) ≈ 1.732
cos(60°) = 0.5

Example 2: 45° and 90°

For angle a = 45°:

sin(45°) ≈ 0.707
tan(45°) = 1
cos(45°) ≈ 0.707

For angle b = 90°:

sin(90°) = 1
tan(90°) → undefined (infinite)
cos(90°) = 0

Interpreting Results

The results show the trigonometric values for each angle. Sine represents the y-coordinate on the unit circle, cosine represents the x-coordinate, and tangent is the ratio of sine to cosine.

For 90° and 270°, tangent is undefined because cosine is zero.

Frequently Asked Questions

What is the difference between sin, tan, and cos?: Sine, tangent, and cosine are fundamental trigonometric functions that relate angles to ratios of sides in right triangles. Sine gives the y-coordinate, cosine gives the x-coordinate, and tangent is their ratio.
Why are the results different for the same angle in different calculators?: Results may vary due to different precision settings or rounding methods. This calculator uses 4 decimal places for consistency.
Can I use negative angles with this calculator?: Yes, the calculator accepts negative angles. Negative angles are measured clockwise from the positive x-axis.
What happens if I enter an angle greater than 360°?: The calculator will compute the trigonometric values for the angle modulo 360°, effectively finding the equivalent angle within one full rotation.