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TsAmE
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Homework Statement
Calculate arcsin(sin√5).
Homework Equations
None.
The Attempt at a Solution
f(1/2) = sin(1/2)
= π / 6
f'(x) = cosx
f'(1/2) = cos(1/2)
= π / 3
y = π / 6 + π / 3(x - 1/2)
= π / 3 x
f(√5) = π / 3 (√5)
= √5π / 3
I tried using linear approximation, but didnt get the correct answer of π - √5