Question

Trigonometry that’s due in one hour :(

Answer 1

Answer:

(a)  $\theta=\tan^{-1}(-0.890)$

$\implies \theta=-41.66908262 \pm 180 \textdegree n$

$\implies \theta=138.3309174..., 318.3309174...$

$\implies \theta=138\textdegree, 318\textdegree$

(b)  $\theta=\cos^{-1}\left(\dfrac{\sqrt{3} }{2}\right)$

$\implies \theta=30 \textdegree \pm360 \textdegree n, 330 \textdegree \pm360 \textdegree n$

$\implies \theta=30 \textdegree , 330 \textdegree$

(c)  $\theta=\sin^{-1}\left(\dfrac{1 }{2}\right)$

$\implies \theta=30 \textdegree \pm360 \textdegree n, 150 \textdegree \pm360 \textdegree n$

$\implies \theta=30 \textdegree , 150 \textdegree$