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if tanθ = \(frac{3}{4}\), 180° < θ < 270°, find the value of cosθ.

Mathematics
WAEC 2021

if tanθ = \(frac{3}{4}\), 180° < θ < 270°, find the value of cosθ.

  • A. \(\frac{4}{5}\)
  • B. \(\frac{3}{5}\)
  • C. -\(\frac{4}{5}\)
  • D. -\(\frac{3}{5}\)
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Correct Answer: Option C
Explanation

tanθ = \(frac{3}{4}\) → tanθ = 0.75

θ = tan\(^{-1}\)[0.75] → 36.8698°

cosθ = cos[36.8698°] 

→ 0.800 or  \(frac{4}{5}\) 

However; in the third quadrant Cosine is negative

i.e -\(frac{4}{5}\) 


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
Join your school's WhatsApp group
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Join your school's WhatsApp group
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709