Evaluate Composite Trig Functions

5. Inverse Trigonometric Functions and Basic Trigonometric Equations / Evaluate Composite Trig Functions / Problem 3

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.
csc (sin⁻¹ (3/x))

[√(x² - 9)]/x

x/3

[3√(x² - 9)]/(x² - 9)

[3√(x² - 3)]/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.csc (sin⁻¹ (3/x))