# physics

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In Physics, it is important to use mathemat- ical approximations. For instance, in a small
angle approximation, tan α ∼ sin α . Find the largest angle α for which the dif- ference of sin α − tan α is less than 3.52% of
the sin α value.

• physics -

sinThets-tantheta<.0352sintheta

1-.0352<cosTheta
.9648<cosTheta
which means theta can be a maximum of 15.4 degrees

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