Let be a real parameter

MATHEMATICS · Subjective · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

Let

a

be a real parameter. Determine all values of

a

for which the function

f_a(x)=\arcsin(ax)

is defined and satisfies

f_a(x)\le 0

for every

x \in \left[0,\dfrac{1}{2}\right]

.

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