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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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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free
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