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Problem 926

Find the solution set of \(\sin ^{2} \theta+\sin \theta=0\).

Expert verified

The solution set of \(\sin ^{2} \theta+\sin \theta=0\) is given by \(\theta = 0 + n\pi\), where n is any integer or \(\theta = (-1)^{n}\pi\), where n is any odd integer.

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Chapter 29

Find one number in the solution set of the equation \(\tan t=\sqrt{3}\).

Chapter 29

Prove the following two identities: (1) \(\cos (\pi / 2-\theta)=\sin \theta\) (2) \(\cos \theta=\sin (\pi / 2-\theta)\).

Chapter 29

Find the solution set of \(2 \cos ^{2} x-5 \cos x+2=0\).

Chapter 29

Solve: \(2 \cos 3 \mathrm{x}+1=0\)

Chapter 29

Find the solution set on \([0,2 \pi)\) for the equation $\cot ^{2} \theta+(1-\sqrt{3}) \cot \theta-\sqrt{3}=0$.

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