1
AP EAPCET 2022 - 4th July Morning Shift
+1
-0

If $$\operatorname{cosech} x=\frac{4}{5}$$, then $$\sinh x=$$

A
$$\frac{4}{5}$$
B
$$\frac{5}{4}$$
C
$$\frac{2}{3}$$
D
$$\frac{2}{5}$$
2
AP EAPCET 2021 - 20th August Morning Shift
+1
-0

What is the value of $$\cos \left(22 \frac{1}{2}\right)^{\circ}$$ ?

A
$$\sqrt{\frac{\sqrt{2}-1}{2 \sqrt{2}}}$$
B
$$\sqrt{\frac{\sqrt{2}+1}{2 \sqrt{2}}}$$
C
$$\sqrt{2}-1$$
D
$$\sqrt{2}+1$$
3
AP EAPCET 2021 - 20th August Morning Shift
+1
-0

If $$\cos \theta=-\sqrt{\frac{3}{2}}$$ and $$\sin \alpha=\frac{-3}{5}$$, where '$$\theta$$' does not lie in the third quadrant, then the value of $$\frac{2 \tan \alpha+\sqrt{3} \tan \theta}{\cot ^2 \theta+\cos \alpha}$$ is equal to

A
$$\frac{7}{22}$$
B
$$\frac{5}{22}$$
C
$$\frac{9}{22}$$
D
$$\frac{22}{5}$$
4
AP EAPCET 2021 - 20th August Morning Shift
+1
-0

If $$\tan \beta=\frac{\tan \alpha+\tan \gamma}{1+\tan \alpha \tan \gamma}$$, then $$\frac{\sin 2 \alpha+\sin 2 \gamma}{1+\sin 2 \alpha \sin 2 \gamma}$$ is equal to

A
$$\sin 2 \beta$$
B
$$\cos 2 \beta$$
C
$$\tan 2 \beta$$
D
$$\sec 2 \beta$$
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