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MATHEMATICS

JAMB 2022 - Question 35

Mathematics 2022 JAMB Past Questions - Question 35: If sin θ = - 3/5 and θ lies in the third quadrant, find cos θ

If sin θ = - 3/5 and θ lies in the third quadrant, find cos θ

A: 4/5

B: - 5/4

C: 5/4

D: - 4/5

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Correct Answer

Explanation

Where sin θ = opp/hyp → −35opp = -3, hyp = 5using pythagoras formula hyp2 = adj2 + opp2adj2 = hyp2 - opp2adj2 = 52 - 32 → 25 - 9adj2 = 16adj = 4cos θ = adj/hyp → 45In third quadrant: cos θ is negative → - 45