My Cart
Your Cart 0

    Your cart is empty.

  • Total (Amount) ₹0.00
Previous year question hub

Trigonometric Equations - Trigonometry PYQs

Practice Trigonometric Equations PYQs from AP EAPCET Mathematics exams — 32 MCQs from 23 papers for focused mock test practice.

23Papers
4Years
32Questions
1Topics

Trigonometric Equations question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Trigonometric Equations. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 32 100%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Multiple Choices 32 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
32 Qs

Most asked topics

Top topics across the included previous year papers.

Trigonometry
32 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Trigonometric Equations
32 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

AP EAPCET 2025 22ND MAY EVENING SHIFT
2 Qs
AP EAPCET 2025 23RD MAY EVENING SHIFT
2 Qs
AP EAPCET 2025 24TH MAY MORNING SHIFT
2 Qs
AP EAPCET 2025 26TH MAY MORNING SHIFT
2 Qs
AP EAPCET 2025 21ST MAY EVENING SHIFT
1 Qs
AP EAPCET 2025 21ST MAY MORNING SHIFT
1 Qs
AP EAPCET 2025 22ND MAY MORNING SHIFT
1 Qs
AP EAPCET 2025 23RD MAY MORNING SHIFT
1 Qs
AP EAPCET 2025 26TH MAY EVENING SHIFT
1 Qs
AP EAPCET 2025 27TH MAY MORNING SHIFT
1 Qs
AP EAPCET 2024 19TH MAY EVENING SHIFT
3 Qs
AP EAPCET 2024 20TH MAY MORNING SHIFT
2 Qs
AP EAPCET 2024 21TH MAY MORNING SHIFT
2 Qs
AP EAPCET 2024 18TH MAY MORNING SHIFT
1 Qs
AP EAPCET 2024 20TH MAY EVENING SHIFT
1 Qs
AP EAPCET 2024 21TH MAY EVENING SHIFT
1 Qs
AP EAPCET 2024 22TH MAY EVENING SHIFT
1 Qs
AP EAPCET 2024 22TH MAY MORNING SHIFT
1 Qs
AP EAPCET 2024 23TH MAY MORNING SHIFT
1 Qs
AP EAPCET 2022 5TH JULY MORNING SHIFT
2 Qs
AP EAPCET 2021 19TH AUGUST EVENING SHIFT
1 Qs
AP EAPCET 2021 19TH AUGUST MORNING SHIFT
1 Qs
AP EAPCET 2021 20TH AUGUST MORNING SHIFT
1 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
AP EAPCET 2025 21ST MAY EVENING SHIFT20251View paper
AP EAPCET 2025 21ST MAY MORNING SHIFT20251View paper
AP EAPCET 2025 22ND MAY EVENING SHIFT20252View paper
AP EAPCET 2025 22ND MAY MORNING SHIFT20251View paper
AP EAPCET 2025 23RD MAY EVENING SHIFT20252View paper
AP EAPCET 2025 23RD MAY MORNING SHIFT20251View paper
AP EAPCET 2025 24TH MAY MORNING SHIFT20252View paper
AP EAPCET 2025 26TH MAY EVENING SHIFT20251View paper
AP EAPCET 2025 26TH MAY MORNING SHIFT20252View paper
AP EAPCET 2025 27TH MAY MORNING SHIFT20251View paper
AP EAPCET 2024 18TH MAY MORNING SHIFT20241View paper
AP EAPCET 2024 19TH MAY EVENING SHIFT20243View paper
AP EAPCET 2024 20TH MAY EVENING SHIFT20241View paper
AP EAPCET 2024 20TH MAY MORNING SHIFT20242View paper
AP EAPCET 2024 21TH MAY EVENING SHIFT20241View paper
AP EAPCET 2024 21TH MAY MORNING SHIFT20242View paper
AP EAPCET 2024 22TH MAY EVENING SHIFT20241View paper
AP EAPCET 2024 22TH MAY MORNING SHIFT20241View paper
AP EAPCET 2024 23TH MAY MORNING SHIFT20241View paper
AP EAPCET 2022 5TH JULY MORNING SHIFT20222View paper
AP EAPCET 2021 19TH AUGUST EVENING SHIFT20211View paper
AP EAPCET 2021 19TH AUGUST MORNING SHIFT20211View paper
AP EAPCET 2021 20TH AUGUST MORNING SHIFT20211View paper

All Trigonometric Equations previous year questions

Practice every matching question in batches of 20, with every available option.

1
2021 · Mathematics · Trigonometry · Trigonometric Equations
AP EAPCET 2021 19TH AUGUST EVENING SHIFT

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

A
\(\frac{21 \pi}{2}\)
B
\(\frac{11 \pi}{4}\)
C
\(\frac{24 \pi}{4}\)
D
\(\frac{31 \pi}{4}\)
Open complete paper
2
2021 · Mathematics · Trigonometry · Trigonometric Equations
AP EAPCET 2021 19TH AUGUST MORNING SHIFT

The value of \(x\) satisfying the equation \(3 \operatorname{cosec} x=4 \sin x\) are

A
\(\frac{\pi}{6}, \frac{\pi}{3}\)
B
\(\pm \frac{\pi}{6}\)
C
\(\pm \frac{\pi}{3}\)
D
\(\frac{\pi}{3}, \frac{\pi}{4}\)
Open complete paper
3
2021 · Mathematics · Trigonometry · Trigonometric Equations
AP EAPCET 2021 20TH AUGUST MORNING SHIFT

If \(\sin \left(\frac{\pi}{4} \cos \theta\right)=\cos \left(\frac{\pi}{4} \tan \theta\right)\), then \(\theta\) is equal to

A
\(2 n \pi+\frac{\pi}{4}\)
B
\(2 n \pi \pm \frac{\pi}{4}\)
C
\(2 n \pi-\frac{\pi}{4}\)
D
\(n \pi+\frac{\pi}{4}\)
Open complete paper
4
2022 · Mathematics · Trigonometry · Trigonometric Equations
AP EAPCET 2022 5TH JULY MORNING SHIFT

$$\text { If } \sin \theta+\operatorname{cosec} \theta=4, \text { then } \sin ^2 \theta+\operatorname{cosec}^2 \theta=$$

A
12
B
18
C
16
D
14
Open complete paper
5
2022 · Mathematics · Trigonometry · Trigonometric Equations
AP EAPCET 2022 5TH JULY MORNING SHIFT

If \(2 \cosh 2 x+10 \sinh 2 x=5\), then \(x=\)

A
\(\frac{1}{2} \log \frac{4}{3}\)
B
\(\frac{1}{2} \log \frac{2}{3}\)
C
\(\frac{1}{2} \log \frac{3}{2}\)
D
\(\frac{1}{2} \log \frac{3}{4}\)
Open complete paper
6
2024 · Mathematics · Trigonometry · Trigonometric Equations
AP EAPCET 2024 18TH MAY MORNING SHIFT
$1+\sin x+\sin ^2 x+\sin ^3 x+\ldots \ldots+\infty=4+2 \sqrt{3}$ and $0
A
$\frac{\pi}{6}$
B
$\frac{5\pi}{6}$
C
$\frac{2\pi}{3}$
D
$\frac{7\pi}{3}$
Open complete paper
7
2024 · Mathematics · Trigonometry · Trigonometric Equations
AP EAPCET 2024 19TH MAY EVENING SHIFT
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
A
$60^{\circ}$
B
$45^{\circ}$
C
$30^{\circ}$
D
$15^{\circ}$
Open complete paper
8
2024 · Mathematics · Trigonometry · Trigonometric Equations
AP EAPCET 2024 19TH MAY EVENING SHIFT

The general solution of

$$\begin{aligned} & 4 \cos 2 x-4 \sqrt{3} \sin 2 x+\cos 3 x-\sqrt{3} \sin 3 x \\ & \qquad+\cos x-\sqrt{3} \sin x=0 \end{aligned}$$

A
$\frac{n \pi}{2}-\frac{\pi}{3}$
B
$\frac{n \pi}{2}+\frac{\pi}{6}$
C
$\frac{n \pi}{2}+\frac{\pi}{12}$
D
$\frac{n \pi}{2}-\frac{\pi}{12}$
Open complete paper
9
2024 · Mathematics · Trigonometry · Trigonometric Equations
AP EAPCET 2024 19TH MAY EVENING SHIFT
The general solution of $2 \cos ^2 x-2 \tan x+1=0$ is
A
$n \pi+\frac{\pi}{4}, n \in Z$
B
$2 n \pi \pm \frac{\pi}{4}, n \in Z$
C
$2 n \pi \pm \frac{\pi}{3}, n \in Z$
D
$n \pi \pm \frac{\pi}{3}, n \in Z$
Open complete paper
10
2024 · Mathematics · Trigonometry · Trigonometric Equations
AP EAPCET 2024 20TH MAY EVENING SHIFT
The general solution of the equation $\sin ^2 \theta+3 \cos ^2 \theta=$ $5 \sin \theta$ is
A
$n \pi \pm \frac{\pi}{3}, n \in Z$
B
$n \pi+(-1)^n \frac{\pi}{6}, n \in Z$
C
$n \pi \pm \frac{\pi}{6}, n \in Z$
D
$n \pi+(-1)^n \frac{\pi}{3}, n \in Z$
Open complete paper
11
2024 · Mathematics · Trigonometry · Trigonometric Equations
AP EAPCET 2024 20TH MAY MORNING SHIFT
The number of ordered pairs $(x, y)$ satisfying the equations $\sin x+\sin y=\sin (x+y)$ and $|x|+|y|=1$ is
A
2
B
3
C
4
D
6
Open complete paper
12
2024 · Mathematics · Trigonometry · Trigonometric Equations
AP EAPCET 2024 20TH MAY MORNING SHIFT
If $5 \sin h x-\cos h x=5$, then one of the values of $\tan h x$ is
A
$\frac{2}{5}$
B
$\frac{3}{5}$
C
$\frac{-3}{5}$
D
$\frac{-1}{5}$
Open complete paper
13
2024 · Mathematics · Trigonometry · Trigonometric Equations
AP EAPCET 2024 21TH MAY EVENING SHIFT
Number of solutions of the trigonometric equation $2 \tan 2 \theta-\cot 2 \theta+1=0$ lying in the interval $[0, \pi]$ is
A
2
B
3
C
4
D
5
Open complete paper
14
2024 · Mathematics · Trigonometry · Trigonometric Equations
AP EAPCET 2024 21TH MAY MORNING SHIFT
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
A
$\left[\frac{a-1-\sqrt{2} a}{2}, \frac{a-1+\sqrt{2} a}{2}\right]$
B
$\left[\frac{a+1-\sqrt{2}}{2}, \frac{a+1+\sqrt{2}}{2}\right]$
C
$\left[\frac{a-1-\sqrt{2}}{2}, \frac{a-1+\sqrt{2}}{2}\right]$
D
$\left[-\frac{\left(\sqrt{2 a^2+2 a+1}+1\right)}{2}, \frac{\left(\sqrt{2 a^2+2 a+1}-1\right)}{2}\right]$
Open complete paper
15
2024 · Mathematics · Trigonometry · Trigonometric Equations
AP EAPCET 2024 21TH MAY MORNING SHIFT
If the general solution .set of $\sin x+3 \sin 3 x+\sin 5 x=1$ is $S$, then $\{\sin \alpha / \alpha \in S\}=$
A
$\{1,-1,0\}$
B
$\left\{\frac{1}{2}, \frac{-1}{2}, 0,1,-1\right\}$
C
$\left\{\frac{\sqrt{3}}{2}, 0, \frac{-\sqrt{3}}{2}\right\}$
D
$\left\{1,-1, \frac{\sqrt{3}}{2}, 0, \frac{-\sqrt{3}}{2}\right\}$
Open complete paper
16
2024 · Mathematics · Trigonometry · Trigonometric Equations
AP EAPCET 2024 22TH MAY EVENING SHIFT

The values of $x$ in $(-\pi, \pi)$, which satisfy the equation $8^{1+\cos ^2 x+\cos ^4 x+\ldots \ldots}=4^3$ are

A
$\pm \frac{\pi}{4}, \pm \frac{3 \pi}{4}$
B
$\pm \frac{\pi}{6}, \frac{\pi}{3}$
C
$\pm \frac{\pi}{8}$
D
$\frac{\pi}{3}$
Open complete paper
17
2024 · Mathematics · Trigonometry · Trigonometric Equations
AP EAPCET 2024 22TH MAY MORNING SHIFT
The general solution of the equation $\tan x+\tan 2 x-\tan 3 x=0$ is
A
$\left\{x \left\lvert\, x=n \pi \pm \frac{\pi}{3}\right.\right.$ or $\left.\frac{n \pi}{2}, n \in Z\right\}$
B
$\left\{x \left\lvert\, x=n \pi \pm \frac{\pi}{3}\right.\right.$ or $\left.n \pi, n \in Z\right\}$
C
$\left\{x \left\lvert\, x=n \pi \pm \frac{\pi}{3}\right.\right.$ or $\frac{n \pi}{2}$ or $\left.n \pi, n \in Z\right\}$
D
$\left\{x \left\lvert\, x=n \pi \pm \frac{\pi}{6}\right.\right.$ or $\left.\frac{n \pi}{2}, n \in Z\right\}$
Open complete paper
18
2024 · Mathematics · Trigonometry · Trigonometric Equations
AP EAPCET 2024 23TH MAY MORNING SHIFT
The general solution of $\cot \frac{x}{2}-\cot x=\operatorname{cosec} \frac{x}{2}$ is
A
$\left\{\left.2 n \pi+\frac{\pi}{3} \right\rvert\, n \in z\right\}$
B
$\left\{\left.4 n \pi+\frac{\pi}{3} \right\rvert\, n \in z\right\}$
C
$\left\{\left.2 n \pi+\frac{2 \pi}{3} \right\rvert\, n \in z\right\}$
D
$\left\{\left.4 n \pi \pm \frac{2 \pi}{3} \right\rvert\, n \in z\right\}$
Open complete paper
19
2025 · Mathematics · Trigonometry · Trigonometric Equations
AP EAPCET 2025 21ST MAY MORNING SHIFT

The number of solutions of the equation $2 \sin ^2 \theta-3 \cos ^2 \theta=\sin \theta \cos \theta$ lying in the intervals $(-\pi, \pi)$ is

A

2

B

4

C

3

D

1

Open complete paper
20
2025 · Mathematics · Trigonometry · Trigonometric Equations
AP EAPCET 2025 21ST MAY EVENING SHIFT

Number of solutions of the equation $\cos \theta+\cos 2 \theta-\sqrt{3}(\sin \theta+\sin 2 \theta)+1=0$ lying in the interval $(0,2 \pi)$ is

A

3

B

6

C

5

D

4

Open complete paper

Showing 20 of 32 questions