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Tan∅ = 3/4
3 = Opposite side of a right triangle
4 = Adjacent side of a right triangle
Opp. side = 3k
Adjacent side = 4k
By pythagoras theoem,
(3k)² + (4k)² = (Hypotenuse)²
(Hypotenuse)² = 9k + 16k = 25k
Hypotenuse = √25 = 5
SinФ = Opposite side/ Hypotesnuse = 3k/5k = 3/5
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