JEE Advanced 2023 | ITF PYQ | Inverse Trigonometric Function PYQ | Maths PYQ | Full Concepts Explain скачать в хорошем качестве

JEE Advanced 2023 | ITF PYQ | Inverse Trigonometric Function PYQ | Maths PYQ | Full Concepts Explain

Let tan^(-1)⁡〖(x) ϵ ((-π)/2,π/2)〗,for xϵR. Then the number of real solutions of the equation √(1+cos⁡(2x))= √2 tan^(-1)⁡(tanx) in the set ((-3π)/2,(-π)/2)∪((-π)/2,π/2)∪(π/2,3π/2) is equal to. JEE Advanced 2023 Paper 1 | ITF / Trigonometry PYQ 🔥 In this video, we solve a conceptual trigonometry + inverse trigonometric functions question based on the principal value of \tan^{-1}x and the behaviour of \tan^{-1}(\tan x). ✅ Question (Exact): Let \tan^{-1}(x)\in\left(-\frac{\pi}{2},\frac{\pi}{2}\right) for x\in\mathbb{R}. Find the number of real solutions of \sqrt{1+\cos(2x)}=\sqrt{2}\,\tan^{-1}(\tan x) in the set \left(-\frac{3\pi}{2},-\frac{\pi}{2}\right)\cup\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\cup\left(\frac{\pi}{2},\frac{3\pi}{2}\right). 📌 Concepts used: • Principal value range of \tan^{-1}x • Graph/behavior of \tan^{-1}(\tan x) (piecewise) • \sqrt{1+\cos 2x} simplification using identities • Counting solutions interval-wise (very important for JEE Advanced) 👍 If you find this PYQ helpful, Like, Share & Subscribe for daily JEE Advanced Maths PYQs. #JEEAdvanced2023 #ITF #Trigonometry #PYQ