30
MCQ (Single Correct Answer)
If $\sin \theta+\operatorname{cosec} \theta=2$, then $\sin ^2 \theta+\operatorname{cosec}^2 \theta$ is equal to
A
1
B
4
C
2
D
None of these
31
MCQ (Single Correct Answer)
If $f(x)=\cos ^2 x+\sec ^2 x$, then
A
$f(x)<1$
B
$f(x)=1$
C
$2< f(x)< 1$
D
$f(x) \geq 2$
32
MCQ (Single Correct Answer)
If $\tan \theta=\frac{1}{2}$ and $\tan \phi=\frac{1}{3}$, then the value of $\theta+\phi$ is
A
$\frac{\pi}{6}$
B
$\pi$
C
0
D
$\frac{\pi}{4}$
33
MCQ (Single Correct Answer)
Which of the following is not correct?
A
$\sin \theta=-\frac{1}{5}$
B
$\cos \theta=1$
C
$\sec \theta-\frac{1}{2}$
D
$\tan \theta=20$
34
MCQ (Single Correct Answer)
The value of $$\tan 1\Upsilon\tan 2\Upsilon\tan 3\Upsilon...~\tan89\Upsilon$$ is
A
0
B
1
C
$\frac{1}{2}$
D
Not defined