Inverse Trigonometry Function 05 : Sum - JEE Main Maths

Inverse Trigonometric Functions: Sum and Difference Formulas

Key Properties and Recall Points Inverse trigonometric functions have specific domains, ranges, and properties that must be memorized for effective problem-solving. Their graphs should be practiced regularly for better retention, and simplification techniques are crucial for handling complex expressions.

**Domain...

Which formula is used to simplify tan⁻¹(x) + tan⁻¹(y) when both x and y are positive and their product is less than 1?

tan⁻¹((x + y) / (1 - xy))

What is the formula for tan⁻¹(x) - tan⁻¹(y) when both x and y are positive?

tan⁻¹((x - y) / (1 + xy))

If tan⁻¹(1/5) = θ, what is the value of tan(2θ)?

Sat Dec 05 2026 00:00:00 GMT+0530 (India Standard Time)

What is the value of sin(α) if cos(α) = √5/3 and α is in the first quadrant?

Mon Mar 02 2026 00:00:00 GMT+0530 (India Standard Time)