anonymous one year ago medal to the person who can help me!! Find cos theta if sin theta=0.56

1. LynFran

whats 0.56 in fraction form?

2. anonymous

14/25

3. LynFran

now do u know the Pythagorean triple (7,24,25)?

4. anonymous

no i don’t….

5. anonymous

If $\sin (θ)=\frac{ opposite side }{ hypotenuse }=\frac{ 14 }{ 25 }$ and $\cos(θ)=\frac{ adjacentside }{ hypotenuse }=\frac{ x }{ 25 }$ and it is a right triangle, so $14^{2}+x ^{2}=25^{2}$ then $x=\sqrt{429}$ so $\cos (θ)=\frac{ \sqrt{429} }{ 25 }$

6. anonymous

soo..is 25 the answer then? i thought i had to use the pythagorean identity..

7. LynFran

no i made an error ...mistook 14 for 24...lol

8. anonymous

ohhh so i had to find the triple to put into the equation.. GOT IT

9. anonymous

thnx xx :)

10. LynFran

@Natriumhydrid correct