SOLUTION: Given that Tan y = 2/5, find 4/5Cos y

SOLUTION: Given that Tan y = 2/5, find 4/5Cos y - 3/4Sin y

Question 688288: Given that Tan y = 2/5, find 4/5Cos y - 3/4Sin y
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Given that Tan y = 2/5, find 4/5Cos y - 3/4Sin y
tany=2/5=opposite side/adjacent side
hypotenuse=√(2^2+5^2)=√(4+25)=√29
cosy=5/√29
siny=2/√29
4/5Cos y-3/4Sin y
=(4/5)(5/√29)-(3/4)(2/√29)
=(4√29)�(3/2√29)
=(8-3)/2√29
=5/(2√29)
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