Finding inverse trigonometric values and shadow length

[doodlebug003]

I need help with how to solve these problems on my homework. If you don't know how to do them all then just write the number of the one you know. Thanks so much.

1. arcsin(√3 / 2)=
2. sin^-1(- √2 / 2)=
3. arcos(- 1/2)=
4. tan^-1(√3 / 3)=
5. sin(arctan 3/ 4)=
6. If the sun is 30degrees above the horizon, find the length of a shadow cast by a silo that is 60 feet tall.

 

[tiny-tim]

Welcome to PF!

Hi doodlebug003! Welcome to PF!

Show us what you've tried, and where you're stuck, and then we'll know how to help.

Start with 1. and 2.

 

[tiny-tim]

1. arcsin(√3 / 2)=

there is no arcsine for number 1. Domain of arc sine -1,1

get some sleep! :zzz:​

 

[HallsofIvy]

there is no arcsine for number 1. Domain of arc sine -1,1

Since 3< 4, $\sqrt{3}< 2$ and $\sqrt{3}/2< 1$.