Trig Substitution Calculator

Guide to Using the Trigonometric Substitution Calculator

Welcome to the Trigonometric Substitution Calculator. This tool assists in solving calculus problems involving trigonometric substitutions. Follow the step-by-step guide below to effectively use the calculator.

Step 1: Select the Expression Type

• Locate the dropdown menu labeled Select Expression Type.
• Choose from the following options depending on your problem:
• √(1-x²): Use this form if your expression resembles the square root of 1 minus x squared.
• √(1+x²): Use this form if your expression resembles the square root of 1 plus x squared.
• √(x²-1): Use this form if your expression resembles the square root of x squared minus 1.

Step 2: Enter the Value of x

• Find the input field labeled Enter x value.
• Type in a numerical value for x that adheres to the domain restrictions. The valid domains are:
• √(1-x²): -1 ≤ x ≤ 1
• √(1+x²): All real numbers
• √(x²-1): |x| > 1
• The calculator allows x values between -100 and 100 with precision up to two decimal places.

Step 3: View the Results

• Once you have filled in the required fields, the calculator will automatically display the results below.
• Trigonometric Substitution: Displays the type of substitution used, e.g., x = sin(θ), tan(θ), or sec(θ).
• θ (in radians): Provides the calculated angle θ in radians, accurate to four decimal places.
• θ (in degrees): Converts θ from radians to degrees, accurate to two decimal places and displayed with a degree sign.
• Result of Expression: Shows the result of the entered expression using the given x value, calculated to four decimal places.
• Valid Domain: Reminds you of the domain constraints associated with your selected expression type.

Use this guide whenever you need assistance with the Trigonometric Substitution Calculator. This tool streamlines the complex process of trigonometric substitution, providing you with accurate and quick results.