if tanθ = \(frac{3}{4}\), 180° < θ < 270°, find the value of cosθ.
- \(\frac{4}{5}\)
- \(\frac{3}{5}\)
-
-\(\frac{4}{5}\)
- -\(\frac{3}{5}\)
The correct answer is: 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 -\(frac{4}{5}\)