If sin θ = 5/13 and θ is in the second quadrant, find the value of sin θ + cos θ.
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Correct answer: A
Explanation
In the second quadrant,
sin θ is positive and cos θ is negative.
cos θ = -√(1 − (5/13)²)
= -√(1 − 25/169)
= -√(144/169)
= -12/13
sin θ + cos θ = 5/13 − 12/13
= -7/13