Trigonometry that’s due in one hour :(

Question 1

Question 2

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)
$\theta=\cos^(-1)\left((√(3) )/(2)\right)$

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

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

(c)
$\theta=\sin^(-1)\left((1 )/(2)\right)$

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

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

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