1
JEE Main 2021 (Online) 25th July Evening Shift
+4
-1
The value of $$\cot {\pi \over {24}}$$ is :
A
$$\sqrt 2 + \sqrt 3 + 2 - \sqrt 6$$
B
$$\sqrt 2 + \sqrt 3 + 2 + \sqrt 6$$
C
$$\sqrt 2 - \sqrt 3 - 2 + \sqrt 6$$
D
$$3\sqrt 2 - \sqrt 3 - \sqrt 6$$
2
JEE Main 2021 (Online) 18th March Evening Shift
+4
-1
If 15sin4$$\alpha$$ + 10cos4$$\alpha$$ = 6, for some $$\alpha$$$$\in$$R, then the value of

27sec6$$\alpha$$ + 8cosec6$$\alpha$$ is equal to :
A
500
B
400
C
250
D
350
3
JEE Main 2021 (Online) 16th March Morning Shift
+4
-1
If for x $$\in$$ $$\left( {0,{\pi \over 2}} \right)$$, log10sinx + log10cosx = $$-$$1 and log10(sinx + cosx) = $${1 \over 2}$$(log10 n $$-$$ 1), n > 0, then the value of n is equal to :
A
16
B
9
C
12
D
20
4
JEE Main 2021 (Online) 25th February Evening Shift
+4
-1
If 0 < x, y < $$\pi$$ and cosx + cosy $$-$$ cos(x + y) = $${3 \over 2}$$, then sinx + cosy is equal to :
A
$${{1 + \sqrt 3 } \over 2}$$
B
$${{1 \over 2}}$$
C
$${{\sqrt 3 } \over 2}$$
D
$${{1 - \sqrt 3 } \over 2}$$
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