If sinθ = 7/25 and θ lies in the second quadrant, find the value of tanθ .
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Correct answer: A
Explanation
sinθ = 7/25
θ lies in the second quadrant.
According to the formula:
cosθ = −√(1 − sin²θ)
tanθ = sinθ / cosθ
cosθ = −√(1 − (7/25)²)
= −√(1 − 49/625)
= −√(576/625)
= −24/25
tanθ = (7/25) / (−24/25) = −7/24