Find the value of 2sin inverse(1/sqrt3) ?

1 Answer
Dean R.
Jun 22, 2018

# 2 "Arc""sin"(1/sqrt{3}) approx 1.2309594 \ "radians" approx 70.53^circ #

Explanation:

Presumably we're after the principal value of the inverse sine.

# 2 "Arc""sin"(1/sqrt{3})#

#1/sqrt{3}# is one of the usual tangents, but not one of the usual sines. Incredibly, the above expression is, however vacuously, the best, exact answer to the question.

We can get a calculator approximation,

# 2 "Arc""sin"(1/sqrt{3}) approx 1.2309594 \ "radians" approx 70.53^circ #

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