Exact expressions from cosine ratios

Exact expressions from cosine ratios

Secondary 2
3 marks
TGM Original Questions

If \(\cos x^\circ=5/13\), where \(x\) is acute, find \(2\sin x^\circ+\cos x^\circ+3\tan x^\circ\)[3]

Solution:

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Answer:\(2\sin x+\cos x+3\tan x=\dfrac{24}{13}+\dfrac5{13}+\dfrac{36}{5}=\dfrac{613}{65}\).

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