Question

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

Answer 1

whats 0.56 in fraction form?

Answer 2

14/25

Answer 3

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

Answer 4

no i don’t….

Answer 5

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
\[\cos (θ)=\frac{ \sqrt{429} }{ 25 }\]

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

thnx xx :)

Answer 10

@Natriumhydrid correct