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Exact ratios from cosine in the second quadrant

Exact ratios from cosine in the second quadrant

IB Year 6 | Grade 12

Given that \(\cos x=-\dfrac{8}{17}\) and \(90{}^\circ<x<180{}^\circ\), find the exact value of each of the following.

  1. \(\sin x\)
  2. \(\tan x\)
  3. \(\sec x\)
  4. \(\sin(-x)\)

Solution:

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Answer:(a) \(\frac{15}{17}\) (b) \(-\frac{15}{8}\) (c) \(-\frac{17}{8}\) (d) \(-\frac{15}{17}\)

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