1
MHT CET 2023 14th May Morning Shift
+2
-0

If $$\sin (\theta-\alpha), \sin \theta$$ and $$\sin (\theta+\alpha)$$ are in H.P., then the value of $$\cos 2 \theta$$ is

A
$$1+4 \cos ^2 \frac{\alpha}{2}$$
B
$$1-4 \cos ^2 \frac{\alpha}{2}$$
C
$$-1-4 \cos ^2 \frac{\alpha}{2}$$
D
$$-1+4 \cos ^2 \frac{\alpha}{2}$$
2
MHT CET 2023 13th May Morning Shift
+2
-0

The value of \begin{aligned} \cos \left(18^{\circ}-\mathrm{A}\right) \cdot \cos ( & \left.18^{\circ}+\mathrm{A}\right) \\ & -\cos \left(72^{\circ}-\mathrm{A}\right) \cos \left(72^{\circ}+\mathrm{A}\right) \text { is }\end{aligned}

A
$$\cos 72^{\circ}$$
B
$$\sin 54^{\circ}$$
C
$$\sin 18^{\circ}$$
D
$$\cos 54^{\circ}$$
3
MHT CET 2023 12th May Evening Shift
+2
-0

$$\cos ^2 48^{\circ}-\sin ^2 12^{\circ}=$$ _________, if $$\sin 18^{\circ}=\frac{\sqrt{5}-1}{4}$$

A
$$\frac{-\sqrt{5}+1}{8}$$
B
$$\frac{\sqrt{5}-1}{8}$$
C
$$\frac{\sqrt{5}+1}{8}$$
D
$$\frac{-\sqrt{5}-1}{8}$$
4
MHT CET 2023 12th May Morning Shift
+2
-0

If $$\tan \theta=\frac{\sin \alpha-\cos \alpha}{\sin \alpha+\cos \alpha}, 0 \leq \alpha \leq \frac{\pi}{2}$$, then the value of $$\cos 2 \theta$$ is

A
$$\cos 2 \alpha$$
B
$$\sin \alpha$$
C
$$\cos \alpha$$
D
$$\sin 2 \alpha$$
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