SAT® Subject Test in Math 1 & 2

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Difficult

Composition of Trig Functions

SATSTM-DGXMV9

If $f(x)=\text{tan x}$ and $g(x)=\text{arcsin x}$, then find $f(g(-\cfrac{\sqrt{2}}{2}))$

A

$-1$

B

$1$

C

$0$

D

$-\cfrac{ \pi }{4}$

E

$\cfrac{ \pi}{4}$