1
TS EAMCET 2020 (Online) 14th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the possible solution of the equation $2 \cos ^2 x+3 \sin x-3=0$ constitute two unequal angles of a triangle, then the third angle of that triangle is

A

$\frac{\pi}{2}$

B

$\frac{\pi}{3}$

C

$\frac{\pi}{6}$

D

$\frac{\pi}{4}$

2
TS EAMCET 2020 (Online) 11th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $\left|\sin x-\cos ^2 x\right| \geq\left|3-3 \sin x+\sin ^2 x\right|+4|\sin x-1|$, then $x=$

A

$(4 n+1) \frac{\pi}{2}, n \in Z$

B

$2 n \pi+\frac{\pi}{3}, n \in Z$

C

$n \pi+\frac{\pi}{2}, n \in \mathbf{Z}$

D

$2 n \pi+\frac{\pi}{6}, n \in \mathbf{Z}$

3
TS EAMCET 2020 (Online) 10th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

The general solution of the equation $(\sqrt{3}-1) \sin \theta+(\sqrt{3}+1) \cos \theta=2$ is

A

$2 n \pi \pm \frac{\pi}{4}+\frac{\pi}{12}$

B

$n \pi+(-1)^n \frac{\pi}{4}+\frac{\pi}{12}$

C

$2 n \pi \pm \frac{\pi}{4}-\frac{\pi}{12}$

D

$n \pi+(-1)^n \frac{\pi}{4}-\frac{\pi}{12}$

4
TS EAMCET 2020 (Online) 10th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

The solution set of the trigonometric equation $\tan \theta+5 \cot \theta=\sec \theta$ is

A

$\left\{\frac{\theta}{\theta}=2 n \pi \pm \frac{\pi}{3}, n \in \mathbf{Z}\right\}$

B

$\left\{\frac{\theta}{\theta}=n \pi+(-1)^n \frac{\pi}{2}, n \in \mathbf{Z}\right\}$

C

$\left\{\frac{\theta}{\theta}=n \pi+\frac{\pi}{6}, n \in \mathbf{Z}\right\}$

D

$\phi$

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