Question

There are values of t so that sin t = .35 and cos t = .6

True or false.

I don't understand what this is asking?

Answer 1

hint:

\[\Large \sin^2(t) + \cos^2(t) = 1\]

Answer 2

this is the pythagorean identity

Answer 3

It would be false sin^2t+cos^2t not equal 1?

Answer 4

what did you get instead of 1?

Answer 5

0.7987... I think that's right?

Answer 6

you need to calculate 0.35^2+0.6^2

Answer 7

Notice I just replaced sine and cosine with their respective values

Answer 8

0.35^2+0.6^2=0.4825

Answer 9

that is not equal to 1, so the overall statement is false

Answer 10

to make it true, you would have to change sin(t) to 0.8

sin(t) = 0.8
cos(t) = 0.6

makes sin^2(t) + cos^2(t) = 1 true. This isn't the only way to fix it of course.

Answer 11

I understand now so if it equals 1 (is this for any problem like this) its true and if not its false like this question?

Answer 12

for this type of problem, yes, and always think back to the pythagorean identity

the goal is to make it true

Answer 13

So false here. Thanks for your help again your awesome!

Answer 14

yes false

Answer 15

I wish I had a math teacher like you :)

Answer 16

I'm sure your math teacher is fine. Perhaps he's just too overwhelmed? Not sure.