SOLUTION: If the sine of angle A is 15/17. What is the i)cosine of angle A ii)tangent of angle A

Algebra ->  Angles -> SOLUTION: If the sine of angle A is 15/17. What is the i)cosine of angle A ii)tangent of angle A       Log On


   



Question 1184963: If the sine of angle A is 15/17. What is the
i)cosine of angle A
ii)tangent of angle A

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

sin%28A%29=+15%2F17
recall that sin%28A%29=+opp%2Fhyp
so we know that opp=15 and hyp=17
since cos%28+A%29=adj%2Fhyp, use opp=15 and hyp=17 to calculate adjside
adj=sqrt%2817%5E2-15%5E2%29
adj=sqrt%2864%29
adj=8
i)
then cos%28+A%29=8%2F17
ii)
tan%28A%29=opp%2Fadj
tan%28A%29=15%2F8