Solved: If $\cos \theta = \frac{4}{5}$ and $\theta$ is an acute angle, find the value of $\tan \theta$

Question

If $\cos \theta = \frac{4}{5}$ and $\theta$ is an acute angle, find the value of $\tan \theta$

Verified Answer

$\frac{3}{4}$

Explanation & Step-by-Step Solving

Context: Using a right-angled triangle where adjacent $= 4$ and hypotenuse $= 5$ , find the opposite side using Pythagoras' theorem: $\text{Opposite} = \sqrt{5^2 - 4^2} = \sqrt{25 - 16} = \sqrt{9} = 3$

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Exam aration and answersWAEC Exam arationJAMB Exam arationacademic problems

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