1
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
$$\frac{1}{9}$$
2
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

When the coordinate axes are rotated through an angle 135$$\Upsilon$$, the coordinates of a point $$P$$ in the new system are known to be $$(4,-3)$$. Then find the coordinates of $$P$$ in the original system.

A
$$\left(\frac{1}{\sqrt{2}}, \frac{7}{\sqrt{2}}\right)$$
B
$$\left(\frac{-1}{\sqrt{2}}, \frac{7}{\sqrt{2}}\right)$$
C
$$\left(\frac{1}{\sqrt{2}}, \frac{-7}{\sqrt{2}}\right)$$
D
$$\left(\frac{-1}{\sqrt{2}}, \frac{-7}{\sqrt{2}}\right)$$
3
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

The maximum value of $$f(x)=\sin (x)$$ in the interval $$\left[\frac{-\pi}{2}, \frac{\pi}{2}\right]$$ is

A
0
B
$$-$$1
C
1
D
$$\sqrt2$$
4
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$\tan 2 \alpha \cdot \tan (30 Y-\alpha)+\tan 2 \alpha \cdot \tan (60 Y-\alpha)+\tan (60 \Upsilon-\alpha) \cdot \tan (30 \gamma-\alpha)$$ is equal to

A
$$\tan 3 \alpha$$
B
$$\tan ^2 2 \alpha-\tan ^2 60 \gamma$$
C
1
D
0
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