Question

If $\cos \theta =0.6$, find the value of $5\sin \theta -3\tan \theta$.

Answer 1

$\because cos\theta =0.6$

$co{s}^2\theta =0.36$

$1-co{s}^2\theta =si{n}^2\theta =1-0.36=0.64$

$sin\theta =0.8$

$tan\theta =\frac{sin\theta }{cos\theta }\Rightarrow \frac{0.8}{0.6}\Rightarrow \frac{4}{3}$

Finding $5sin\theta -3tan\theta =5\times 0.8-3\times \frac{4}{3}\Rightarrow 4.0-4=0$ Ans