Kazwaz
If tan x =3/5 and x is greater than 180 degrees but smaller than 270 degrees. What is the exact value of sin x and cos x ?



This Question is Closed

Mertsj
Best Response
You've already chosen the best response.
1
That means the angle is in Quadrant III

Mertsj
Best Response
You've already chosen the best response.
1
dw:1393719640331:dw

Mertsj
Best Response
You've already chosen the best response.
1
Find the hypotenuse then use the definitions of sin and cos. (Remember: sin and cos are both negative in Quadrant III)

Kazwaz
Best Response
You've already chosen the best response.
0
Sorry, can you go a bit further. Trying to help my daughter .

Mertsj
Best Response
You've already chosen the best response.
1
Would I be correct in assuming that you know the Pythagorean Theorem?

Kazwaz
Best Response
You've already chosen the best response.
0
Yes

Mertsj
Best Response
You've already chosen the best response.
1
Use it to find the hypotenuse in that right triangle.

Kazwaz
Best Response
You've already chosen the best response.
0
5.83

Mertsj
Best Response
You've already chosen the best response.
1
I believe your problem specifies "exact form"

Kazwaz
Best Response
You've already chosen the best response.
0
So I leave it as sq root 34. Then cos x is 5/sq root 34 and sin x is 3/sq root 34. Is that correct?

Mertsj
Best Response
You've already chosen the best response.
1
dw:1393720948851:dw

Kazwaz
Best Response
You've already chosen the best response.
0
Sorry, why are you multiplying by sq rt 34, then dividing by 34 ?

Mertsj
Best Response
You've already chosen the best response.
1
It is not considered simple form to have a radical in the denominator.

Mertsj
Best Response
You've already chosen the best response.
1
\[\frac{5}{\sqrt{34}}\times \frac{\sqrt{34}}{\sqrt{34}}=\frac{5\sqrt{34}}{34}\]

Kazwaz
Best Response
You've already chosen the best response.
0
Thanks for that. You've Ben a great help.

Kazwaz
Best Response
You've already chosen the best response.
0
been

Mertsj
Best Response
You've already chosen the best response.
1
yw