if cos 0= 3/5, find sin 0 and tan 0
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Answer:
sinθ=4/5 and tanθ=4/3
Step-by-step explanation:
Given that,
cosθ=3/5
Base/Hypotenuse=3/5 {cosθ=base/hypotenuse}
Therefore,it is clear that the ratio of base and hypotenuse is 3:5
So, we can say that,
Base=3x units and Hypotenuse=5x units
According to Pythagoras theorem:-
(Hypotenuse)²=(Base)²+(Perpendicular)²
∴(Perpendicular)²=(Hypotenuse)²-(Base)²
Now, putting values:-
(Perpendicular)²=(5x)²-(3x)²
(Perpendicular)²=25x²-9x²
(Perpendicular)²=16x²
Perpendicular=√16x²
Perpendicular=4x units
∴sinθ=Perpendicular/Hypotenuse
sinθ=4x/5x=4/5
tanθ=4x/3x
tanθ=4/3
THANK YOU
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