Trigonometry (Part 3/3) JEE Main PYQ + Theory | Prabhat Ranjan

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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

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