Question

Sin 0 = 1. Find tan 8.A.404141OB. 49O C. 40D.409e

Answer 1

`\begin{gathered} If\text{ }sin\theta=(9)/(41) \\ \\ \end{gathered}`

Because sine is opposite side/ hypotenuse. tangent = opposite angle / adjacent, so we need to find the adjacent side using Pitagora's theorem

`\begin{gathered} c^2=a^2+b^2 \\ 41^2=9^2+b^2 \\ 1681\text{ - }81=b^2 \\ √(1600)=b \\ 40=b \end{gathered}`

And now we find tangent.

`tan\theta=(oppositeside)/(adjacentside)=(9)/(40)`

So, the correct option is C