Question

If $\tan \theta =\frac{4}{3},\frac{3\pi }{2}<\theta <2\pi$ find the value of $3sec\theta +5\tan \theta$.

Answer 1

Consider the following question.

$\tan \theta =\frac{4}{3},\frac{3\pi }{2}<\theta <2\pi$

the value of $3\sec \theta +5\tan \theta$

$3\sec \theta +5\tan \theta =3\times \frac{5}{3}+\frac{4}{3}\times 5$

$=\frac{35}{3}$