SOLUTION: what is the cosine if the sin is 4/7

Algebra ->  Trigonometry-basics -> SOLUTION: what is the cosine if the sin is 4/7       Log On


   

Question 1099868: what is the cosine if the sin is 4/7

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+sin%28+theta+%29+=+4%2F7+
+4+ = side opposite +theta+
+b+ = side adjacent to +theta+
+7+ = hypotenuse
-----------------------
+cos%28+theta+%29+=+b%2F7+
+b%5E2+=+7%5E2+-+4%5E2+
+b%5E2+=+49+-+16+
+b%5E2+=+33+
+b+=+sqrt%28+33+%29+
--------------------
+cos%28+theta+%29+=+sqrt%28+33+%29+%2F+7+