If and are real numbers such that

MATHEMATICS · Single correct · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

a

and

b

are real numbers such that

-1 < a < b < 1

, which of the following is always true? (a)

\arcsin a > \arcsin b

(b) Impossible to decide, as

\arcsin

is not monotonic on

(-1,1)

(c)

\arcsin a < \arcsin b

(d)

\arcsin|a| < \arcsin|b|