Answer:
sin(x) = 2/√13
Step-by-step explanation:
In the first quadrant , all the trig identity (sin, cos and tan) are all positive.
Given tan(x) = 2/3
According to TOA, tan(x) = opposite/adjacent = 2/3
opposite = 2
adjacent = 3
Using pythagoras theorem to get the hypotenuse;
Hyp² = opp²+adj²
Hyp² = 2²+3²
Hyp² = 4+9
Hyp² = 13
Hyp = √13
According to SOH, sin(x) = opp/hyp
sin(x) = 2/√13
Answer:
A [tex]2/\sqrt{13}[/tex]
Step-by-step explanation:
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