Question

Solve 93 and 94, read directions carefully these problems are related

Answer 1

waGiven:

`\begin{gathered} (A)cos\theta=(5)/(13)and\text{ 0}<\theta<(\pi)/(2) \\ (B)sec\theta=(5)/(3)and\text{ }(3\pi)/(2)<\theta<2\pi \end{gathered}`

Find: evaluate other five function.

Explanation:(A)

`\begin{gathered} cos\theta=(5)/(13)=(base)/(hypotenuse) \\ sin\theta=(12)/(13) \\ cosec\theta=(13)/(12) \\ sec\theta=(13)/(5) \\ tan\theta=(12)/(5) \\ cot\theta=(5)/(12) \end{gathered}`

(B)

`\begin{gathered} sec\theta=(5)/(3) \\ cos\theta=(3)/(5) \\ sin\theta=(-4)/(5) \\ cosec\theta=(-5)/(4) \\ tan\theta=(-4)/(3) \\ cot\theta=(-3)/(4) \end{gathered}`
`\begin{gathered} cos\theta=(5)/(13)=\frac{base\text{ }}{hypotanuse} \\ \\ \end{gathered}`

by phythagorean property ,

`\begin{gathered} (13)^2=(5)^2+x^2 \\ x^2=169-25 \\ x^2=144 \\ x=12 \end{gathered}`