Question

Find the exact value of each

Answer 1

sin(sec^-1(pi)x)

Answer 2

Change \(\sec\) to be in terms of \(\cos\)

Answer 3

So sec is hyp/adj

Answer 4

so 1/pi(x) is cos?

Answer 5

no, \(\sec = 1/\cos\)

Answer 6

1/1/pi(x)?

Answer 7

hold on...
let's draw a triangle...

Answer 8

k

Answer 9

so we know a =1 and c=pi(x)?

Answer 10

\[
\theta = \sec^{-1}(\pi x)
\]

Answer 11

So \[
\sec(\theta) = \frac{\pi x}{1}
\]