1
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$\tan \alpha+2 \tan 2 \alpha+4 \tan 4 \alpha+8 \cot 8 \alpha$$ is equal to

A
$$\tan 16 \alpha$$
B
$$0$$
C
$$\cot \alpha$$
D
$$\tan \alpha$$
2
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $$f(x)=\frac{\cot x}{1+\cot x}$$ and $$\alpha+\beta=\frac{5 \pi}{4}$$, then the value of $$f(\alpha) f(\beta)$$ is equal to

A
$$\frac{3}{2}$$
B
$$\frac{-3}{2}$$
C
$$\frac{-1}{2}$$
D
$$\frac{1}{2}$$
3
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

In $$\triangle A B C \cdot \frac{a+b+c}{B C+A B}+\frac{a+b+c}{A C+A B}=3$$, then $$\tan \frac{C}{8}$$ is equal to

A
$$\sqrt{6}+\sqrt{3}+\sqrt{2}-2$$
B
$$\sqrt{6}-\sqrt{3}-\sqrt{2}+2$$
C
$$\sqrt{6}-\sqrt{3}+\sqrt{2}-2$$
D
$$\sqrt{6}+\sqrt{3}-\sqrt{2}+2$$
4
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

Mean of the values $$\sin ^2 10 Y, \sin ^2 20 Y, \sin ^2 30 Y, \ldots \ldots \ldots ., \sin ^2 90 Y$$ is

A
$$\frac{5}{9}$$
B
$$\frac{2}{3}$$
C
$$\frac{7}{9}$$
D
$$\frac{1}{9}$$
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