Trigonometry studies relationships between angles and sides of triangles. The six trigonometric functions (sin, cos, tan, cot, sec, csc) define ratios in right triangles and extend to the unit circle. These functions are fundamental in physics, engineering, navigation, and graphics.

1. 1

   Select Function

   Choose the trigonometric function (sin, cos, tan, cot, sec, csc)

2. 2

   Choose Angle Unit

   Select degrees or radians for your angle measurement

3. 3

   Enter Angle

   Input the angle value

4. 4

   View Results

   The result displays along with inverse function values

• 1

  sin^2(theta) + cos^2(theta) = 1 (Pythagorean identity)

• 2

  tan(theta) = sin(theta) / cos(theta)

• 3

  Trigonometric functions are periodic: sin(theta + 360 degrees) = sin(theta)

• 4

  Use radians in physics and advanced mathematics

• Forgetting to convert between degrees and radians - pi radians = 180 degrees

• Calculating tan(90 degrees) or cot(0 degrees) - these are undefined (division by zero)

• Confusing trigonometric functions with their inverses - sin^(-1) gives angle, sin gives ratio

• Assuming sin(A+B) = sin(A) + sin(B) - correct formula is sin(A+B) = sin(A)cos(B) + cos(A)sin(B)