Exact expressions from cosine ratios

Exact expressions from cosine ratios

Secondary 2
TGM Original Questions

Without using a calculator, evaluate each of the following.

  1. if \(\cos x^\circ=5/13\), where \(x\) is acute, find \(2\sin x^\circ+\cos x^\circ+3\tan x^\circ\)
  2. if \(\cos y^\circ=8/17\), where \(y\) is acute, find \(\tan(90^\circ-y^\circ)\)

Solution:

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Answer:(a) \(613/65\); (b) \(8/15\).

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