Asked by ryan
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.
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.
Answers
Answered by
bobpursley
sinThets-tantheta<.0352sintheta
1-.0352<cosTheta
.9648<cosTheta
which means theta can be a maximum of 15.4 degrees
1-.0352<cosTheta
.9648<cosTheta
which means theta can be a maximum of 15.4 degrees
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