Question

Help with trig please

Answer 1

\[If \sin \theta=-\frac{ 4 }{ 5 } and \tan \theta=\frac{ 4 }{ 3 } find \sec\]

Answer 2

\[\sec \theta\]*

Answer 3

maybe rewrite `tan` as `sin/cos` and try finding the value of `cos` first

Answer 4

\[\tan \theta = \dfrac{4}{3}\]

\[\dfrac{\sin \theta}{\cos \theta } = \dfrac{4}{3}\]

Answer 5

Oh you can replace `1/cos` on left hand side by `sec` right away :

\[\sec\theta \sin\theta = \dfrac{4}{3}\]

Answer 6

plugin the value of `sin` and isolate `sec`