If #5*sinA = 3# , then what is the value of #tanA#?

1 Answer
sankarankalyanam · Ricardo A.
Oct 3, 2017

#tan(A)=3/4#

Explanation:

#5sin(A)=3#
#sin(A)=3/5="opposite side"/"hypotenuse"#

#"hypotenuse"^2 = "opposite side"^2 + "adjacent side"^2#

#5^2=3^2 + "adjacent side"^2#

#:. "adjacent side"=sqrt(5^2-3^2)#

#"adjacent side"= 4#

#tan(A)= "opposite side"/"adjacent side"=3/4#

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