Exams › SSC CGL (Prelims) › General

If cos θ = -4/5 and θ lies in the third quadrant, find the value of (sin θ + cos θ)^2.

1. 1/25
2. 7/5
3. 1
4. 49/25

Correct answer: 49/25

Solution

With cos θ = -4/5 in Q3, sin θ = -3/5. Then sin θ + cos θ = -3/5 - 4/5 = -7/5, and squaring gives 49/25.

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