Trigonometry Part 33 JEE Main PYQ Theory Prabhat Ranjan











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Amazon Book link: • ------------------------------ • Competishun (Latest Edition): https://amzn.to/3Moulpw • JEE Main PYQ + Theory | Prabhat Ranjan (Playlist):    • JEE Main PYQ + Theory | Prabhat Ranjan   • Trigonometry (Part 3/3) JEE Main PYQ + Theory | Prabhat Ranjan • Trigonometry Question 21-31 (Part 3/3) Class 11, 12 Mathematics Boards, JEE Main, JEE Advanced, IIT JEE Full course from basic JEE Main Question Practice JEE Main PYQ + Theory by Prabhat Ranjan for class 12, boards, IIT JEE 2025, JEE Main 2025, JEE Advanced 2025, IIT JEE 2026, JEE Main 2026, JEE Advanced 2026. • Trigonometry (Part 3/3) JEE Main PYQ + Theory by Prabhat Ranjan focuses on questions 21-31, completing the topic of trigonometry for Class 11, 12, JEE Main, JEE Advanced, and IIT JEE preparation. This session emphasizes problem-solving techniques by practicing past JEE Main questions and exploring key trigonometric concepts like identities, equations, and formulas. The lecture includes shortcuts, tricks, and in-depth explanations, helping students build a strong foundation in trigonometry, crucial for competitive exams such as IIT JEE 2025 and 2026. • All these aspects have been covered by Prabhat Ranjan in full detail in his new YouTube video. • I am Prabhat Ranjan, currently pursuing B.Tech in Mechanical Engineering from NIT Jamshedpur. • Timeline: • 00:00 Introduction • 01:44 21) The number of solutions of the equation x+2 tan x=π/2 in the interval [0,2 π] is • 08:16 22) If 15 sin^(4)alpha+10cos^(4)alpha=6, then the value of 8 cosec^(6)alpha+27 sec^(6)alpha is • 13:24 23) Sum of all values of x in [0,2 π] for which sin x+sin 2 x+sin 3 x+sin 4 x=0, is equal to • 23:16 24) Number of solutions of the equation 32^tan ^2 x+32^ ^2 x=81,0 ≤ x ≤π/4 is • 26:32 25) The number of solutions of the equation cos (x+pi/3)cos (pi/3-x) = 1/4 cos^(2) 2x, x in [-3pi,3pi] is • 31:59 26) The value of 36(4Cos²9°-1)(4Cos²27°-1)(4Cos²81°-1)(4Cos²243°-1) is • 37:31 27) If sin^2(10)sin(20)sin(40)sin(50)sin(70) = a-(1/16)sin(10) then the value of 16+a^(-1) is • 44:42 28) The number of values of x in the interval (π/4,7π/4) for which 14cosec²x - 2sin²x = 21 - 4cos²x holds is • 51:32 29) If the sum of solutions of the system of equations 2sin2θ cos2θ = 0 and 2cos2θ + 3sinθ = 0 in the interval [0, 2π] p is kπ, then k is equal to • 57:13 30) Let S = {θ ∈ (0, 2π): 7 cos2 θ - 3 sin2θ - 2 cos2 2θ = 2}. Then, the sum of roots of all the equations x2 - 2 (tan2θ + cot2θ) x + 6 sin2θ = 0 θ ∈ S • 01:05:44 31) If m and n respectively are the numbers of positive and negative value of θ in the interval [-π, π] that satisfy the equation cos2θ cosθ/2= cos3θcos9θ/2 then mn is equal to • Connect • -------------- • Instagram:   / itsprabhatranjan   • LinkedIn:   / prabhat-ranjan-36602b213   • Facebook: https://www.facebook.com/profile.php?... • Telegram channel: https://telegram.me/itsprabhatranjanjee • Telegram Group: https://telegram.me/itsprabhatranjanj... • Business Enquiry: [email protected] • #jeemains #maths #prabhatranjan #pyq

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