SOLUTION: Find cos (s+t) and cos (s-t) Cos(s)= 1/5 and sin(t)= 3/5 s and t in Quadrant I cos(s+t)=? Simplify your answer, including any radicals. Use integers or fractions for

Algebra ->  Trigonometry-basics -> SOLUTION: Find cos (s+t) and cos (s-t) Cos(s)= 1/5 and sin(t)= 3/5 s and t in Quadrant I cos(s+t)=? Simplify your answer, including any radicals. Use integers or fractions for       Log On


   



Question 1001389: Find cos (s+t) and cos (s-t)
Cos(s)= 1/5 and sin(t)= 3/5
s and t in Quadrant I
cos(s+t)=?
Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.

Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
If Cos(s) = 1/5 Sin(s) = root24/5
If Sin(t) = 3/5 Cos(t) = 4/5
Cos(s + t) = coss cost-sins sint
Cos(s + t) = 1/5*4/5 - root24/5*3/5
Cos(s + t) = (4 - 6 root6)/25
........................
Cos(s - t) = coss cost+sins sint
Cos(s - t) = 1/5*4/5 + root24/5*3/5
Cos(s - t) = (4 + 6 root6)/25
...........................
Hope this helps :-)