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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
35
MCQ (Single Correct Answer)

The value of $\frac{1-\tan ^2 15 \Upsilon}{1+\tan ^2 15 \Upsilon}$ is

A
1
B
$\sqrt{3}$
C
$\frac{\sqrt3}{2}$
D
2