Evaluate Composite Trig Functions

5. Inverse Trigonometric Functions and Basic Trigonometric Equations / Evaluate Composite Trig Functions / Problem 2

Transform the following expression into an algebraic expression. Use a right triangle in writing the algebraic expression. Assume that the inverse trigonometric function is defined for its argument and assume that x > 0.
tan (sin⁻¹ 2x)

1 - 4x²

[2x√(1 - 4x²)]/(1 - 4x²)

1/(2x)

[2√(2x² - 1)]/x

Transform the following expression into an algebraic expression. Use a right triangle in writing the algebraic expression. Assume that the inverse trigonometric function is defined for its argument and assume that x > 0.tan (sin⁻¹ 2x)