3
QuizMultiple Choice

Solving Trigonometric Equations — Quiz

Question 3 • Precalculus

Which equation should be used to graph y is equal to secant inverse of x on a calculator?

Answer
A
y is equal to 1 over cosine inverse of x
B
y is equal to 1 over secant of x
C
y is equal to cosine inverse of open paren 1 over x close paren
D
y is equal to secant of open paren 1 over x close paren

Explanation

The inverse secant function is defined by taking the inverse cosine of the reciprocal: sec⁻¹(x) = cos⁻¹(1/x). So to graph y = sec⁻¹(x) on a calculator, enter y = cos⁻¹(1/x), which is choice C. Choice A instead takes the reciprocal of cos⁻¹(x), which is a different function.

AI-written and checked against the verified answer.

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