Question

Given sec s = 5/3, where sin s < 0, and cot t = 1, where 0 < t < π/2, find sin(s − t) and cos(s + t).


sin(s − t) = ?

cos(s + t) = ?

Answer 1

hellooooo anybody wanna help?

Answer 2

indeed

where do you want to start?

\(\cot t = 1\) so \(t = \frac{\pi}{4}\)??

Answer 3

I mean I keep getting 2√ / 10 as the answer.

Answer 4

oops I meant √2/ 10

Answer 5

you need \(\sin(t)\), \(\cos(t)\) , \(\sin(s)\) and \(\cos(s)\)

Answer 6

did you get those?

Answer 7

\[\sec(s)=\frac{5}{3}\to \cos(s)=\frac{3}{5}\to \sin(s)=-\frac{4}{5}\]

Answer 8

\[\cos(t)=1\to t=\frac{\pi}{4}\to \cos(t)=\sin(t)=\frac{\sqrt2}{2}\]

Answer 9

\[\cos(s+t)=\cos(s)\cos(t)-\sin(s)\sin(t)\] you have all the numbers you need to compute that

Answer 10

thank you! I'm working on it right now

Answer 11

k