1
KCET 2020
MCQ (Single Correct Answer)
+1
-0

The value of $$\cos \left(\sin ^{-1} \frac{\pi}{3}+\cos ^{-1} \frac{\pi}{3}\right)$$ is Does not exist

A
0
B
1
C
$$-$$0
D
Does not exist
2
KCET 2019
MCQ (Single Correct Answer)
+1
-0

If $$f(x)=\sin ^{-1}\left(\frac{2^{x+1}}{1+4^x}\right)$$ then $$f^{\prime}(0)=$$

A
$$\frac{2 \log 2}{5}$$
B
$$2 \log 2$$
C
$$\frac{4 \log 2}{5}$$
D
$$\log 2$$
3
KCET 2019
MCQ (Single Correct Answer)
+1
-0

$$\cos \left[2 \sin ^{-1} \frac{3}{4}+\cos ^{-1} \frac{3}{4}\right]=$$

A
$$\frac{3}{5}$$
B
$$\frac{-3}{4}$$
C
$$\frac{3}{4}$$
D
does not exist
4
KCET 2019
MCQ (Single Correct Answer)
+1
-0

If $$a+\frac{\pi}{2}<2 \tan ^{-1} x+3 \cot ^{-1} x< b$$ then '$$a$$' and '$$b$$' are respectively.

A
0 and $$2 \pi$$
B
0 and $$\pi$$
C
$$\frac{-\pi}{2}$$ and $$\frac{\pi}{2}$$
D
$$\frac{\pi}{2}$$ and $$2 \pi$$
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