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If $A = \sin^2 \theta + \cos^4 \theta$,then for all real values of $\theta$:

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The maximum value of $\left(2 \cos^2 18^{\circ} - \sin 18^{\circ}\right) \left(\cos \theta + 3 \sqrt{2} \cos \left(\theta + \frac{\pi}{4}\right) + 3\right)$ is

If $\alpha + \beta + \gamma = 2\pi ,$ then

For $x \in \mathbb{R}$,the range of $3 \cos (4x - 5) + 4$ lies in the interval:

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