if sinθ = 7 / 25, then find the value of cosθ and tanθ.
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Answer:
sol:
Step-by-step explanation:
sinθ = 7 / 25.....{ given}
(sin)^2θ + (cos)^2θ = 1.... {formula}
(7 / 25)^2 + (cos)^2θ = 1
(49 / 625) + (cos)^2θ = 1
(cos)^2θ = 1 - (49 / 625)
(cos)^2θ = (625 - 49) / 625
(cos)^2θ = 576 / 625
cosθ = root (576 / 625)
cosθ = 24 / 25
now , tanθ = (sinθ / cosθ)..(formula)
Therfore , tanθ = 7 / 25
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