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Mathematics
Mathematics
Problem
(a) Given that
tan
θ
=
−
7
\tan\theta=-7
tan
θ
=
−
7
, determine the principal value of
θ
\theta
θ
correct to three significant figures. (b) Evaluate the principal value of
tan
−
1
(
tan
5
π
4
)
\tan^{-1}\bigl(\tan\tfrac{5\pi}{4}\bigr)
tan
−
1
(
tan
4
5
π
)
and explain your reasoning.
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