SOLUTION: In triangle ABC, angle C is a right angle. If sin A = 6/10, find cos A. a. 3/5 b. 3/4 c. 8/10 d. 10/8

Question 282047: In triangle ABC, angle C is a right angle. If sin A = 6/10, find cos A.
a. 3/5
b. 3/4
c. 8/10
d. 10/8
Found 2 solutions by Mathematicians, solver91311:
Answer by Mathematicians(84) (Show Source): You can put this solution on YOUR website!
We know that where Z is the hypotenuse and X and Y are two sides of a right triangle.
For sine = Y/Z = 6/10
so we know
which is
which is
which is since we are dealing with distance, we take the positive value for X.
We know cosine is X/Z, Z stays the same and X is 8. So your answer is 8/10 or 4/5
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

so:

so:

Or you could just recognize that is is just a 3:4:5 right triangle, so the sides are 6 and 8 and the hypotenuse is 10, so has to be

John

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