Question

Select the correct answer.Consider this equation.cos() =If is an angle in quadrant IV, what is the value of tan()?OA. VOB.OC.OD.7√17√175What’s the answer

Answer 1

Given the value of cosθ =8/9

Quadrant IV = means cos is positive

`\begin{gathered} Hyp^2=Opp^2+Adj^2 \\ 9^2=x^2+8^2 \\ 81=x^2+64 \\ x^2=81-64 \\ x^2=17 \\ x=√(17) \end{gathered}`

So the Quadrant IV , Tanθ = -ve

`tan\theta=(opp)/(adj)=-(√(17))/(8)`

Hence the correct answer is Option B