The angle θ has the point (–2, 9) on its terminal side. What is the exact value of each of
the following?
(a) sin θ
(b) cos θ
(c) tan θ

Question

The angle θ has the point (–2, 9) on its terminal side. What is the exact value of each of
the following?
(a) sin θ
(b) cos θ
(c) tan θ

anonymous · Answer

So basically this is|dw:1455762009576:dw|

anonymous · Answer

First I would find the hypotenuse
$$9^2+(-2^2)=?$$

anonymous · Answer

85 @Brill

anonymous · Answer

use SOH CAH TOA

anonymous · Answer

for example SOH; sine=opposite side/hypotenuse

anonymous · Answer

OKay thanks @Arganov2014

anonymous · Answer

So would sine equal 9/√85

anonymous · Answer

@Arganov2014

anonymous · Answer

yep!

anonymous · Answer

use a calculator to find the angle, but remember that this will give you the angle into that triangle that Brill drew

anonymous · Answer

Okay thanks @Arganov2014 
How would you find the angle on the calculator?

anonymous · Answer

every calculator has its own way, some have the key Asin, others have the key sin^-1

anonymous · Answer

make sure if it's configured to radians or degrees

anonymous · Answer

Okay @Arganov2014