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Previous year question hub

Inverse Trig Functions - AP EAPCET PYQ

Practice 50 MCQs on inverse trigonometric functions from 22 AP EAPCET papers (3 years). Year-wise PYQs and exam-style practice.

22Papers
3Years
50Questions
1Topics

Inverse Trigonometric Functions question pattern

Every graph below is calculated only from this selection.

Questions by year

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

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 50 100%

Question type distribution

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

Multiple Choices 50 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
50 Qs

Most asked topics

Top topics across the included previous year papers.

Trigonometry
50 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Inverse Trigonometric Functions
50 Qs

Paper coverage

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

AP EAPCET 2025 23RD MAY MORNING SHIFT
5 Qs
AP EAPCET 2025 24TH MAY MORNING SHIFT
4 Qs
AP EAPCET 2025 26TH MAY EVENING SHIFT
4 Qs
AP EAPCET 2025 22ND MAY EVENING SHIFT
3 Qs
AP EAPCET 2025 23RD MAY EVENING SHIFT
3 Qs
AP EAPCET 2025 26TH MAY MORNING SHIFT
3 Qs
AP EAPCET 2025 21ST MAY EVENING SHIFT
2 Qs
AP EAPCET 2025 21ST MAY MORNING SHIFT
2 Qs
AP EAPCET 2025 22ND MAY MORNING SHIFT
2 Qs
AP EAPCET 2025 27TH MAY MORNING SHIFT
1 Qs
AP EAPCET 2024 21TH MAY EVENING SHIFT
4 Qs
AP EAPCET 2024 20TH MAY EVENING SHIFT
2 Qs
AP EAPCET 2024 20TH MAY MORNING SHIFT
2 Qs
AP EAPCET 2024 18TH MAY MORNING SHIFT
1 Qs
AP EAPCET 2024 19TH 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 2021 19TH AUGUST MORNING SHIFT
3 Qs
AP EAPCET 2021 20TH AUGUST MORNING SHIFT
3 Qs
AP EAPCET 2021 19TH AUGUST EVENING SHIFT
1 Qs
AP EAPCET 2021 20TH AUGUST EVENING 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 SHIFT20252View paper
AP EAPCET 2025 21ST MAY MORNING SHIFT20252View paper
AP EAPCET 2025 22ND MAY EVENING SHIFT20253View paper
AP EAPCET 2025 22ND MAY MORNING SHIFT20252View paper
AP EAPCET 2025 23RD MAY EVENING SHIFT20253View paper
AP EAPCET 2025 23RD MAY MORNING SHIFT20255View paper
AP EAPCET 2025 24TH MAY MORNING SHIFT20254View paper
AP EAPCET 2025 26TH MAY EVENING SHIFT20254View paper
AP EAPCET 2025 26TH MAY MORNING SHIFT20253View paper
AP EAPCET 2025 27TH MAY MORNING SHIFT20251View paper
AP EAPCET 2024 18TH MAY MORNING SHIFT20241View paper
AP EAPCET 2024 19TH MAY EVENING SHIFT20241View paper
AP EAPCET 2024 20TH MAY EVENING SHIFT20242View paper
AP EAPCET 2024 20TH MAY MORNING SHIFT20242View paper
AP EAPCET 2024 21TH MAY EVENING SHIFT20244View 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 2021 19TH AUGUST EVENING SHIFT20211View paper
AP EAPCET 2021 19TH AUGUST MORNING SHIFT20213View paper
AP EAPCET 2021 20TH AUGUST EVENING SHIFT20211View paper
AP EAPCET 2021 20TH AUGUST MORNING SHIFT20213View paper

All Inverse Trigonometric Functions previous year questions

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

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

For how many distinct values of \(x\), the following \(\sin \left[2 \cos ^{-1} \cot \left(2 \tan ^{-1} x\right)\right]=0\) holds?

A
8
B
2
C
6
D
4
Open complete paper
2
2021 · Mathematics · Trigonometry · Inverse Trigonometric Functions
AP EAPCET 2021 19TH AUGUST MORNING SHIFT

If \(y=\tan ^{-1}\left(\frac{\sqrt{1+x^2}+\sqrt{1-x^2}}{\sqrt{1+x^2}-\sqrt{1-x^2}}\right)\), where \(x^2 \leq 1\). Then, find \(\frac{d y}{d x}\) is equal to

A
\(\frac{\pi}{4}+\frac{1}{2} \cos ^{-1}\left(x^2\right)\)
B
\(\frac{\pi}{4}-\frac{1}{2} \cos ^{-1}\left(x^2\right)\)
C
\(\frac{-x}{\sqrt{1-x^4}}\)
D
\(\frac{-2 x}{\sqrt{1-x^4}}\)
Open complete paper
3
2021 · Mathematics · Trigonometry · Inverse Trigonometric Functions
AP EAPCET 2021 19TH AUGUST MORNING SHIFT

If \(\tan ^{-1}\left[\frac{1}{1+1 \cdot 2}\right]+\tan ^{-1}\left[\frac{1}{1+2 \cdot 3}\right]+\ldots+\tan ^{-1} \left[\frac{1}{1+n(1+1)}\right]=\tan ^{-1}[x]\), then \(x\) is equal to

A
\(\frac{1}{n+1}\)
B
\(\frac{n}{n+1}\)
C
\(\frac{1}{n+2}\)
D
\(\frac{n}{n+2}\)
Open complete paper
4
2021 · Mathematics · Trigonometry · Inverse Trigonometric Functions
AP EAPCET 2021 19TH AUGUST MORNING SHIFT

If \(\int \frac{d x}{x\left(\sqrt{\left.x^4-1\right)}\right.}=\frac{1}{k} \sec ^{-1}\left(x^k\right)\), then the value of \(k\) is equal to

A
1
B
2
C
3
D
4
Open complete paper
5
2021 · Mathematics · Trigonometry · Inverse Trigonometric Functions
AP EAPCET 2021 20TH AUGUST EVENING SHIFT

\(\tan ^{-1}(-2)-\tan ^{-1}(3)\) is equal to

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

If \(x=\sin \left(2 \tan ^{-1} 2\right), y=\cos \left(2 \tan ^{-1} 3\right)\) and \(z=\sec \left(3 \tan ^{-1} 4\right)\), then

A
\(x < y < z\)
B
\(y < z < x\)
C
\(z < x < y\)
D
\(z < y < x\)
Open complete paper
7
2021 · Mathematics · Trigonometry · Inverse Trigonometric Functions
AP EAPCET 2021 20TH AUGUST MORNING SHIFT

\(\frac{d}{d x}\left\{\sin ^2\left(\cot ^{-1} \sqrt{\frac{1+x}{1-x}}\right)\right\}\) is equal to

A
0
B
\(\frac{1}{2}\)
C
\(\frac{-1}{2}\)
D
\(-1\)
Open complete paper
8
2021 · Mathematics · Trigonometry · Inverse Trigonometric Functions
AP EAPCET 2021 20TH AUGUST MORNING SHIFT

If \(y=\tan ^{-1}\left\{\frac{a x-b}{b x+a}\right\}\), then \(y^{\prime}\) is equal to

A
\(\frac{1}{1+x^2}+\frac{a^2}{a^2+b^2}\)
B
\(\frac{1}{1+x^2}\)
C
\(\frac{1}{1+\left(\frac{a x-b}{b x+a}\right)^2}\)
D
\(\frac{b x+a}{1+(a x-b)^2}\)
Open complete paper
9
2024 · Mathematics · Trigonometry · Inverse Trigonometric Functions
AP EAPCET 2024 18TH MAY MORNING SHIFT
$\tan^{-1} 2 + \tan^{-1} 3 = $
A
$\frac{\pi}{4}$
B
$\frac{\pi}{2}$
C
$\frac{3\pi}{4}$
D
$\frac{5\pi}{4}$
Open complete paper
10
2024 · Mathematics · Trigonometry · Inverse Trigonometric Functions
AP EAPCET 2024 19TH MAY EVENING SHIFT
$$\cosh \left(\sinh ^{-1}(\sqrt{8})+\cosh ^{-1} 5\right)=$$
A
$\sqrt{6}+4 \sqrt{2}$
B
$15+8 \sqrt{3}$
C
$6 \sqrt{6}+10 \sqrt{2}$
D
$8-15 \sqrt{3}$
Open complete paper
11
2024 · Mathematics · Trigonometry · Inverse Trigonometric Functions
AP EAPCET 2024 20TH MAY EVENING SHIFT
If $\theta=\sec ^{-1}(\cosh u)$, then $u=$
A
$\log _e\left(\cot \left(\frac{\theta}{2}-\frac{\pi}{4}\right)\right)$
B
$\log _e\left(\tan \left(\frac{\theta}{2}-\frac{\pi}{4}\right)\right)$
C
$\log _\theta\left(\tan \left(\frac{\pi}{4}-\frac{\theta}{2}\right)\right)$
D
$\log _e\left(\tan \left(\frac{\pi}{4}+\frac{\theta}{2}\right)\right)$
Open complete paper
12
2024 · Mathematics · Trigonometry · Inverse Trigonometric Functions
AP EAPCET 2024 20TH MAY EVENING SHIFT
If $\cos ^{-1} 2 x+\cos ^{-1} 3 x=\frac{\pi}{3}$ and $4 x^2=\frac{a}{b}$, then $a+b$ is equal to
A
12
B
11
C
31
D
10
Open complete paper
13
2024 · Mathematics · Trigonometry · Inverse Trigonometric Functions
AP EAPCET 2024 20TH MAY MORNING SHIFT
$$4 \tan ^{-1} \frac{1}{5}-\tan ^{-1} \frac{1}{70}+\tan ^{-1} \frac{1}{99}=$$
A
$\frac{\pi}{12}$
B
$\frac{\pi}{6}$
C
$\frac{\pi}{4}$
D
$\frac{\pi}{3}$
Open complete paper
14
2024 · Mathematics · Trigonometry · Inverse Trigonometric Functions
AP EAPCET 2024 20TH MAY MORNING SHIFT
If $\cos ^4 \frac{\pi}{8}+\cos ^4 \frac{3 \pi}{8}+\cos ^4 \frac{5 \pi}{8}+\cos ^4 \frac{7 \pi}{8}=k$, then $\sin ^{-1}\left(\sqrt{\frac{k}{2}}\right)+\cos ^{-1}\left(\frac{k}{3}\right)=$
A
$\frac{2 \pi}{3}$
B
$\frac{3 \pi}{4}$
C
$\frac{\pi}{4}$
D
$\frac{\pi}{2}$
Open complete paper
15
2024 · Mathematics · Trigonometry · Inverse Trigonometric Functions
AP EAPCET 2024 21TH MAY EVENING SHIFT
The real values of $x$ that satisfy the equation $\tan ^{-1} x+\tan ^{-1} 2 x=\frac{\pi}{4}$ is
A
$\frac{-3 \pm \sqrt{17}}{4}$
B
$-1 \pm \sqrt{3}$
C
$\sqrt{3}-1$
D
$\frac{\sqrt{17}-3}{4}$
Open complete paper
16
2024 · Mathematics · Trigonometry · Inverse Trigonometric Functions
AP EAPCET 2024 21TH MAY EVENING SHIFT
$2 \operatorname{coth}^{-1}(4)+\sec h^{-1}\left(\frac{3}{5}\right)=$
A
$\log 5$
B
$2 \log 3$
C
$3 \log 2$
D
$\log \frac{5}{3}$
Open complete paper
17
2024 · Mathematics · Trigonometry · Inverse Trigonometric Functions
AP EAPCET 2024 21TH MAY EVENING SHIFT
The range of the real valued function $f(x)=\sin ^{-1}\left(\frac{1+x^2}{2 x}\right)+\cos ^{-1}\left(\frac{2 x}{1+x^2}\right)$ is
A
$\left\{\frac{\pi}{2}\right\}$
B
$R$
C
$Q$
D
$\left\{-\frac{\pi}{2}, \frac{\pi}{2}\right\}$
Open complete paper
18
2024 · Mathematics · Trigonometry · Inverse Trigonometric Functions
AP EAPCET 2024 21TH MAY EVENING SHIFT
If $y=\sin ^{-1} x$, then $\left(1-x^2\right) y_2-x y_1=$
A
0
B
1
C
2
D
$2 y$
Open complete paper
19
2024 · Mathematics · Trigonometry · Inverse Trigonometric Functions
AP EAPCET 2024 22TH MAY EVENING SHIFT
$\cot \left(\sum\limits_{n=1}^{50} \tan ^{-1}\left(\frac{1}{1+n+n^2}\right)\right)$ is equal to
A
$\frac{26}{25}$
B
$\frac{25}{26}$
C
$\frac{50}{51}$
D
$\frac{52}{51}$
Open complete paper
20
2024 · Mathematics · Trigonometry · Inverse Trigonometric Functions
AP EAPCET 2024 22TH MAY MORNING SHIFT
The value of $x$ such that $\sin \left(2 \tan ^{-1} \frac{3}{4}\right)=\cos \left(2 \tan ^{-1} x)\right.$
A
7
B
$\frac{3}{7}$
C
$\frac{1}{7}$
D
$\frac{4}{7}$
Open complete paper

Showing 20 of 50 questions