JEE Main 2023 · MathsNumerical answerNumerical valueHardCalculation

JEE Main 6 April 2023, Shift 2, Maths Q30

Question 30 of 90 in this shift, Maths question 30 of 30, Section B.

The value of

\tan 9^\circ-\tan 27^\circ-\tan 63^\circ+\tan 81^\circ

is ___________.

Official answer

NTA final key.

Chapter: Trigonometric Functions
Topic: Trigonometric Identities
Idea tested: Products of Tangents of Complementary Angles

Same topic in other shifts

All Trigonometric Identities questions

2 Apr 2026, Shift 1 · Q11If $\sin\left(\frac{\pi}{18}\right)\sin\left(\frac{5\pi}{18}\right)\sin\left(\frac{7\pi}{18}\right)=K$ , then the value of…MediumSingle correct
2 Apr 2026, Shift 2 · Q13Let $P = \{\theta \in [0, 4\pi]: \tan^2\theta \ne 1\}$ and…MediumSingle correct
4 Apr 2026, Shift 1 · Q23If $A=\frac{\sin 3^\circ}{\cos 9^\circ}+\frac{\sin 9^\circ}{\cos 27^\circ}+\frac{\sin 27^\circ}{\cos 81^\circ}$ and…MediumNumerical value
5 Apr 2026, Shift 1 · Q6Let $\tan A$ , $\tan B$ , where $A, B \in \left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$ , be the roots of the quadratic equation…MediumSingle correct
8 Apr 2026, Shift 2 · Q22If…HardNumerical value
4 Apr 2025, Shift 2 · Q3Let the product of $\omega_1=(8+i)\sin\theta+(7+4i)\cos\theta$ and $\omega_2=(1+8i)\sin\theta+(4+7i)\cos\theta$ be $\alpha+i\beta$ ,…HardSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.