Find cos of angle p if sin of angle p is 8/17 and the hypotenuse measure is 10 in a right triangle.

Question

 The sin of angle p is 8/17, but the hypotenuse measure is 10

Answer 1

Draw the right triangle, hypot = 17, angle p has opposite side 8, so adjacent side is 15 (Pythagorean triple).

 

So cos p = 15/17.  The HYPOTENUSE MEASURE IS 10 is an IRRELEVANT fact, and in fact it refers to a different but similar triangle; this has no bearing on sine or cosine of angle p.