Trigonometry Solver-AI-powered trigonometry problem solver

Example

Solve sin(θ) = 0.5 for θ.

Scenario

A student working on a trigonometry homework assignment encounters an equation involving sine or cosine. Trigonometry Solver walks the student through each step of isolating the variable, applying the inverse functions, and understanding the principal and general solutions for the angle.

Example

Find the height of a building when the angle of elevation is 30° and the distance to the base is 50 meters.

Scenario

In a real-world scenario, a surveyor may need to calculate distances or angles using trigonometric functions like sine, cosine, or tangent. Trigonometry Solver can apply the appropriate formula to find unknowns in right triangles, such as height or distance, based on angle measurements and one known side length.

Example

Graph y = 2sin(θ + π/4) over the interval [0, 2π].

Scenario

A math teacher needs to explain how to graph modified trigonometric functions to students. Trigonometry Solver can show how phase shifts, amplitude changes, and periodicity affect the shape of sine and cosine graphs. It generates a clear, visual representation, helping students understand transformations.

Example

Determine the maximum height and time period of a swinging pendulum described by y = 3sin(2πt).

Scenario

In physics or engineering, trigonometric functions model periodic motion like pendulums or waves. Trigonometry Solver helps users calculate key characteristics such as period, amplitude, and phase shifts, providing practical insights into real-world oscillatory systems.

Example

Simplify cos²(θ) + sin²(θ).

Scenario

When simplifying expressions or solving trigonometric proofs, students often need to apply identities like the Pythagorean, double-angle, or sum and difference identities. Trigonometry Solver walks through the process of selecting and applying the right identity to simplify or solve the expression.