Advanced Trigonometry, SMB-030

Solve for all \(\theta\) in the range \(0^{\circ} \leq \theta \leq 360^{\circ}\), that make the following equation correct

\(\sin\,\theta(\sin\,\theta+1)=0\) (3 marks)

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\(\theta=0^{\circ},180^{\circ},270^{\circ},360^{\circ}\)

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\(\text{If}\ \ \sin\,\theta=0\ \ \Rightarrow\ \ \theta=0^{\circ}, 180^{\circ}, 360^{\circ}\)

\(\text{If}\ \ \sin\,\theta+1=0\ \ \Rightarrow\ \ \sin\,\theta=-1\ \ \Rightarrow\ \ \theta=270^{\circ}\)

\(\theta=0^{\circ},180^{\circ},270^{\circ},360^{\circ}\)