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

Answer 1

So basically this is

Answer 2

First I would find the hypotenuse
\[9^2+(-2^2)=?\]

Answer 3

85 @Brill

Answer 4

use SOH CAH TOA

Answer 5

for example SOH; sine=opposite side/hypotenuse

Answer 6

OKay thanks @Arganov2014

Answer 7

So would sine equal 9/√85

Answer 8

@Arganov2014

Answer 9

yep!

Answer 10

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

Answer 11

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

Answer 12

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

Answer 13

make sure if it's configured to radians or degrees

Answer 14

Okay @Arganov2014