Question

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.

Answer 1

sinThets-tantheta<.0352sintheta

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