If sin θ = 3/5 and θ is in the second quadrant, what is the value of tan θ?
Show the answer and explanation
Correct answer
A. -3/4
Principle or equation
In the second quadrant, sine is positive, cosine and tangent are negative. Use Pythagorean identity.
Why this answer is correct
cos θ = -sqrt(1 - (3/5)^2) = -4/5. tan θ = sin θ / cos θ = (3/5)/(-4/5) = -3/4.
Example
If sin α = 5/13 and α in quadrant II, then tan α = -5/12.
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