Question

If a and b are the measure of two first quadrant angles, find the exact value of the functioncsc a =5/3 and tan 5/12 find the cod (a+b)

Answer 1

Input data

`\begin{gathered} \cos a=(5)/(3) \\ \tan b=(5)/(12) \end{gathered}`

Now for cos(a+b)

`\begin{gathered} a=\csc ^(-1)((5)/(3))^{} \\ a=36.87 \end{gathered}`
`\begin{gathered} b=\tan ^(-1)((5)/(12)) \\ b=22.62 \end{gathered}`
`\begin{gathered} \cos (a+b) \\ \cos (36.87+22.62) \\ \cos 59.5 \\ (33)/(65)=0.507 \end{gathered}`