49
MCQ (Single Correct Answer)
The value of $\sin50\Upsilon-\sin70\Upsilon+\sin10\Upsilon$ is
A
1
B
0
C
$\frac{1}{2}$
D
2
50
MCQ (Single Correct Answer)
If $\sin\theta+\cos\theta=1$, then the value of $\sin2\theta$ is
A
1
B
$\frac{1}{2}$
C
0
D
$-1$
51
MCQ (Single Correct Answer)
If $\alpha+\beta=\frac{\pi}{4}$, then the value of $(1+\tan \alpha)(1+\tan \beta)$ is
A
1
B
2
C
$-2$
D
Not defined
52
MCQ (Single Correct Answer)
If $\sin \theta=\frac{-4}{5}$ and $\theta$ lies in third quadrant, then the value of $\cos \frac{\theta}{2}$ is
A
$\frac{1}{5}$
B
$-\frac{1}{\sqrt{10}}$
C
$-\frac{1}{\sqrt{5}}$
D
$\frac{1}{\sqrt{10}}$
53
MCQ (Single Correct Answer)
The number of solutions of equation $\tan x+\sec x=2 \cos x$ lying in the interval $[0,2 \pi]$ is
A
0
B
1
C
2
D
3