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
$\frac{\pi}{4}$
41
MCQ (Single Correct Answer)
The minimum value of $$3\cos x+4\sin x+8$$ is
A
5
B
9
C
7
D
3
42
MCQ (Single Correct Answer)
The value of $\tan 3 A-\tan 2 A-\tan A$ is
A
$\tan 3 A \tan 2 A \tan A$
B
$-\tan 3 A \tan 2 A \tan A$
C
$\tan A \tan 2 A-\tan 2 A \tan 3 A-\tan 3 A \tan A$
D
None of the above
43
MCQ (Single Correct Answer)
The value of $\sin (45 \Upsilon+\theta)-\cos (45 \Upsilon-\theta)$ is
A
$2 \cos \theta$
B
$2 \sin \theta$
C
1
D
0
44
MCQ (Single Correct Answer)
The value of $\cot \left(\frac{\pi}{4}+\theta\right) \cot \left(\frac{\pi}{4}-\theta\right)$ is
A
$$-$$1
B
0
C
1
D
Not defined