Trigonometric Equations · Mathematics · AP EAPCET
MCQ (Single Correct Answer)
1
Number of solutions of the trigonometric equation $2 \tan 2 \theta-\cot 2 \theta+1=0$ lying in the interval $[0, \pi]$ is
AP EAPCET 2024 - 21th May Evening Shift
2
For $a \in R-\{0\}$, if $a \cos x+a \sin x+a=2 k+1$ has a solution, then $k$ lies in the interval
AP EAPCET 2024 - 21th May Morning Shift
3
If the general solution .set of $\sin x+3 \sin 3 x+\sin 5 x=1$ is $S$, then $\{\sin \alpha / \alpha \in S\}=$
AP EAPCET 2024 - 21th May Morning Shift
4
The general solution of the equation $\sin ^2 \theta+3 \cos ^2 \theta=$ $5 \sin \theta$ is
AP EAPCET 2024 - 20th May Evening Shift
5
The number of ordered pairs $(x, y)$ satisfying the equations $\sin x+\sin y=\sin (x+y)$ and $|x|+|y|=1$ is
AP EAPCET 2024 - 20th May Morning Shift
6
If $5 \sin h x-\cos h x=5$, then one of the values of $\tan h x$ is
AP EAPCET 2024 - 20th May Morning Shift
7
The smallest positive value (in degrees) of $\theta$ for which $\tan \left(\theta+100^{\circ}\right)=\tan \left(\theta+50^{\circ}\right) \tan (\theta) \tan \left(\theta-50^{\circ}\right)$ is valid, is
AP EAPCET 2024 - 19th May Evening Shift
8
The general solution of
$$ \begin{aligned} & 4 \cos 2 x-4 \sqrt{3} \sin 2 x+\cos 3 x-\sqrt{3} \sin 3 x \\ & \qquad+\cos x-\sqrt{3} \sin x=0 \end{aligned} $$
AP EAPCET 2024 - 19th May Evening Shift
9
The general solution of $2 \cos ^2 x-2 \tan x+1=0$ is
AP EAPCET 2024 - 19th May Evening Shift
10
$1+\sin x+\sin ^2 x+\sin ^3 x+\ldots \ldots+\infty=4+2 \sqrt{3}$ and $0
AP EAPCET 2024 - 18th May Morning Shift
11
$$\text { If } \sin \theta+\operatorname{cosec} \theta=4, \text { then } \sin ^2 \theta+\operatorname{cosec}^2 \theta=$$
AP EAPCET 2022 - 5th July Morning Shift
12
If $$2 \cosh 2 x+10 \sinh 2 x=5$$, then $$x=$$
AP EAPCET 2022 - 5th July Morning Shift
13
If $$\sin \left(\frac{\pi}{4} \cos \theta\right)=\cos \left(\frac{\pi}{4} \tan \theta\right)$$, then $$\theta$$ is equal to
AP EAPCET 2021 - 20th August Morning Shift
14
If $$\theta \in[0,2 \pi]$$ and $$\cos 2 \theta=\cos \theta+\sin \theta$$, then the sum of all values of $$\theta$$ satisfying the equation is
AP EAPCET 2021 - 19th August Evening Shift
15
The value of $$x$$ satisfying the equation $$3 \operatorname{cosec} x=4 \sin x$$ are
AP EAPCET 2021 - 19th August Morning Shift