Given that sinx=3/5 where x is an acute angle for cosx

1 answer:

4 0

The correct question is
Given that sinx=3/5 where x is an acute angle, what is cosx and tanx?

we know that

since x is acute 0<x<π/2
then the trigonometric rations will be positive

sin ²x+cos²x=1------------> cos²x=1-sin²x-------> cos²x=1-(3/5)²----> 1-(9/25)
cos²x=16/25----------> cos x=4/5

the answer part A) is
cos x=4/5

tan x=sin x/cos x
so
tan x=(3/5)/(4/5)---------> tan x=3/4

the answer part B) is
tan x=3/4

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Answer: $33.33\%$

Step-by-step explanation:

Given

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