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
45
MCQ (Single Correct Answer)
$\cos 2 \theta \cos 2 \phi+\sin ^2(\theta-\phi)-\sin ^2(\theta+\phi)$ is equal to
A
$\sin 2(\theta+\phi)$
B
$\cos 2(\theta+\phi)$
C
$\sin 2(\theta-\phi)$
D
$\cos 2(\theta-\phi)$
46
MCQ (Single Correct Answer)
The value of $\cos12\Upsilon+\cos84\Upsilon+\cos156\Upsilon+\cos132\Upsilon$ is
A
$\frac{1}{2}$
B
1
C
$-\frac{1}{2}$
D
$\frac{1}{8}$
47
MCQ (Single Correct Answer)
If $\tan A=\frac{1}{2}$ and $\tan B=\frac{1}{3}$, then $\tan(2A+B)$ is equal to
A
1
B
2
C
3
D
4