Trigonometry Calculator

Free trigonometry calculator with step-by-step solutions. Solve trigonometric expressions, inverse trigonometric functions, and right triangles. Get exact values in radians/degrees.

• 1. Evaluate sin, cos, tan at common angles (exact/decimal)
• 2. Find angles from arcsin, arccos, and arctan results
• 3. Solve missing sides/angles using SOHCAHTOA & Pythagorean theorem
• 4. Simplify expressions like sin²x + cos²x

Enter your trigonometry problem into the text box above. For example, enter sin(pi/6), then click Solve to get a step-by-step explanation of how to solve sin(pi/6).

• 1. Type a trig problem (e.g., sin(π/6), arctan(1), solve sin(x)=0.5)
• 2. Click “Solve”
• 3. Review the step-by-step explanation

sin (x)- cos (x)=0

sin ( π/2 )

sin^(2) (x)- cos^(2) (x)

sin (π- π/6 )

SOHCAHTOA (right triangles)

sin(θ) = opposite / hypotenuse

cos(θ) = adjacent / hypotenuse

tan(θ) = opposite / adjacent

Pythagorean theorem

a² + b² = c²

Pythagorean identities

sin²(x) + cos²(x) = 1

1 + tan²(x) = sec²(x)

1 + cot²(x) = csc²(x)

Angle conversion

radians = degrees × π / 180

degrees = radians × 180 / π