6
QuizMultiple Choice

Solving Trigonometric Equations — Quiz

Question 6 • Precalculus

Which equation is correct?

Answer
A
operatorname ar c cs c x is equal to 1 over cosine of x
B
operatorname ar c cs c x is equal to arcsin times open paren 1 over x close paren
C
operatorname ar c cs c x is equal to 1 over sine of x
D
operatorname ar c cs c x is equal to arccos times open paren 1 over x close paren

Explanation

The inverse cosecant, written arccsc(x), gives the angle whose cosecant is x. Since cosecant is the reciprocal of sine, that angle has sine 1/x, so arccsc(x) = arcsin(1/x). Choice C is the reciprocal function csc(x), not its inverse.

AI-written and checked against the verified answer.

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