The minimum value of $5 \sin ^2 \theta+4 \cos ^2 \theta$ is

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If $\sin ^2 \theta=\frac{1}{4}$, then the most general value of $\theta$ is

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The general value of $\theta$ satisfying the equation $2 \sin ^2 \theta-3 \sin \theta-2=0$ is

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Find the value of $\cos \left(2 \cos ^{-1} x+\sin ^{-1} x\right)$ when $x=\frac{1}{5}$

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The value of $\frac{\cos 12^{\circ}-\sin 12^{\circ}}{\cos 12^{\circ}+\sin 12^{\circ}}+\frac{\sin 147^{\circ}}{\cos 147^{\circ}}$ is equal to

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Write the principal value of $\tan ^{-1}(1)+\cos ^{-1}\left(-\frac{1}{2}\right)$.

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The minimum value of $5 \sin ^2 \theta+4 \cos ^2 \theta$ is

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