SOLUTION: If x is a acute angle of a right triangle and sinx=3/5, what is the value of cos x

Question 299938: If x is a acute angle of a right triangle and sinx=3/5, what is the value of cos x
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
sine = opposite side of right triangle divided by hypotenuse.
cosine = adjacent side of right triangle divided by hypotenuse.
You were given sinx = 3/5, which tells me that the hypotenuse is 5 and the opposite side is 3.
We use the Pythagorean Theorem from geometry to find the adjacent side.
Let A = adjacent side.
(3)^2 + A^2 = 5^2
9 + A^2 = 25
A^2 = 25 - 9
A^2 = 16
Taking the square root of both sides, we get A = 4.
Like I said before, cosine = adjacent side of right triangle divided by hypotenuse.
Then cosx = 4/5
Understood?
RELATED QUESTIONS
If angle A and angle B are acute angles of right triangle ABC, what is the value of sin A (answered by jim_thompson5910)

If x is a positive acute angle and cosx = 1/9, what is the value of cos... (answered by lwsshak3)

If x is a positive acute angle and cos x =√(3)/4, what is the exact value of sin... (answered by Alan3354)

An acute angle θ is in a right triangle with cos θ = five sixths (5/6). What is (answered by Edwin McCravy)

An acute angle θ is in a right triangle with cos θ = five sixths (5/6). What is (answered by stanbon)

If one acute angle of a right triangle is 38 degrees what is the measure of the other... (answered by Alan3354)

If A is a positive acute angle and sin A = the square root of 5/3 what is cos... (answered by stanbon)

An acute angle θ is in a right triangle with cos θ = nine tenths. What is the... (answered by stanbon)

If the two acute angles of a right triangle have measures (2x-11)degrees and... (answered by josgarithmetic)