Question

Please answer!! (look at the picture)

Drag and drop the appropriate values for all of the trig functions using the right triangle below:
(you can use answers multiple times)

Answer 1

`sinT=(O)/(H)=(6√(2) )/(19)`

`cosT=(A)/(H)=(17)/(19)`

`tanT=(O)/(A)=(6√(2) )/(17)`

`sinS=(O)/(H)=(17)/(19)`

`cosS=(A)/(H)=(6√(2) )/(19)`

`tanS=(O)/(A)=(17)/(6√(2) )`

Explanation:

Trig identities:

`sin(x)=(O)/(H) \ \ \ \ \ cos(x)=(A)/(H) \ \ \ \ \ tan(x)=(O)/(A)`

where

• x = angle
• O = side opposite the angle
• A = side adjacent the angle
• H = hypotenuse

`sinT=(O)/(H)=(6√(2) )/(19)`

`cosT=(A)/(H)=(17)/(19)`

`tanT=(O)/(A)=(6√(2) )/(17)`

`sinS=(O)/(H)=(17)/(19)`

`cosS=(A)/(H)=(6√(2) )/(19)`

`tanS=(O)/(A)=(17)/(6√(2) )`