x in deg. and rad. in terms of sin

Jun 2005
18
0
Hi I need help with the following please?

Find X in radians, in terns of pi: sin x = 1/radical 2

Fine X in degrees, to nearest tenth: sin x = .35

THANK YOU
 

MathGuru

MHF Hall of Fame
Mar 2005
478
315
Inverse sin

1.\(\displaystyle sin x = 1/\sqrt{2}\)

\(\displaystyle x = Asin(1/\sqrt{2})\)

using a calculator, i found that \(\displaystyle Asin(1/\sqrt{2})=.785398...\)

I divided this number by pi and got 1/4

so the answer is \(\displaystyle \frac{\pi}{4}\)

2. \(\displaystyle sin x = .35\)

\(\displaystyle x = Asin(.35)\)

using a calculator, i found that \(\displaystyle Asin(.35)=20.487......\)

so the answer is 20.5 degrees