36
MCQ (Single Correct Answer)
The value of $\cos1\Upsilon\cos2\Upsilon\cos3\Upsilon ...~\cos179\Upsilon$ is
A
$\frac{1}{\sqrt2}$
B
0
C
1
D
$-1$
37
MCQ (Single Correct Answer)
If $\tan \theta=3$ and $\theta$ lies in third quadrant, then the value of $\sin \theta$ is
A
$\frac{1}{\sqrt{10}}$
B
$-\frac{1}{\sqrt{10}}$
C
$\frac{-3}{\sqrt{10}}$
D
$\frac{3}{\sqrt{10}}$
38
MCQ (Single Correct Answer)
The value of $\tan 75 \Upsilon-\cot 75\Upsilon$ is
A
$2 \sqrt{3}$
B
$2+\sqrt{3}$
C
$2-\sqrt{3}$
D
1
39
MCQ (Single Correct Answer)
Which of the following is correct?
A
$\sin 1 \Upsilon>\sin 1$
B
$\sin 1 \Upsilon<\sin 1$
C
$\sin 1 \Upsilon=\sin 1$
D
$\sin 1 \Upsilon=\frac{\pi}{18 \Upsilon} \sin 1$
40
MCQ (Single Correct Answer)
If $\tan \alpha=\frac{m}{m+1}$ and $\tan \beta=\frac{1}{2 m+1}$, then $\alpha+\beta$ is equal to
A
$\frac{\pi}{2}$
B
$\frac{\pi}{3}$
C
$\frac{\pi}{6}$
D
$\frac{\pi}{4}$