Class 11 Maths | NCERT Exercise 3.3 Solutions | Trigonometric Functions
In this video, we will solve Exercise 3.3 of the NCERT Class 11 Maths textbook from the chapter Trigonometric Functions. Each solution is explained step by step so that students can understand the logic clearly and prepare well for exams. ✨ What you’ll learn in this video: Properties of trigonometric functions Step-by-step solutions of NCERT Exercise 3.3 questions Tips to strengthen your problem-solving skills 00:00 Ex 3.3 Q1 | sin² π/6 + cos² π/3 - tan² π/4 = -1/2 02:27 Ex 3.3 Q2 | 2sin² π/6 + cosec² 7π/6 cos² π/3 = 3/2 06:42 Ex 3.3 Q3 | cot² π/6 + cosec² 5π/6 + 3tan² π/6 = 6 09:37 Ex 3.3 Q4 | 2sin² 3π/4 + 2cos² π/4 + 2sec² π/3 = 10 12:34 Ex 3.3 Q5 | sin 75° 15:06 Ex 3.3 Q5 | tan 15° 17:28 Ex 3.3 Q6 | cos(π/4 - x) cos(π/4 - y) - sin(π/4 - x) sin(π/4 - y) = sin(x + y) 22:17 Ex 3.3 Q7 25:08 Ex 3.3 Q8 29:08 Ex 3.3 Q9 33:20 Ex 3.3 Q10 | sin (n + 1)x sin (n + 2)x + cos (n + 1)x cos (n + 2)x = cos x 36:44 Ex 3.3 Q11 42:05 Ex 3.3 Q12 | sin² 6x – sin² 4x = sin 2x sin 10x 45:41 Ex 3.3 Q13 | cos² 2x – cos² 6x = sin 4x sin 8x 49:54 Ex 3.3 Q14 | sin2 x + 2 sin 4x + sin 6x = 4 cos² x sin 4x 53:34 Ex 3.3 Q15 | cot 4x (sin 5x + sin 3x) = cot x (sin 5x – sin 3x) 57:12 Ex 3.3 Q16 | Trigonometric Functions of Sum and Difference of Two Angles 59:00 Ex 3.3 Q17 | Trigonometric Functions of Sum and Difference of Two Angles 1:00:31 Ex 3.3 Q18 1:02:07 Ex 3.3 Q19 1:03:30 Ex 3.3 Q20 1:05:45 Ex 3.3 Q21 1:08:17 Ex 3.3 Q22 | cot x cot 2x – cot 2x cot 3x – cot 3x cot x = 1 1:17:14 Ex 3.3 Q23 1:22:31 Ex 3.3 Q24 | cos 4x = 1 – 8sin² x cos² x 1:25:30 Ex 3.3 Q25 🔹 This video is useful for: CBSE Class 11 students preparing for exams Students learning from NCERT textbook JEE (Main & Advanced) aspirants who want to build strong basics 📚 Watch till the end for complete solutions and clear concepts! 👉 Don’t forget to Like, Share & Subscribe to [MathPathshala] for more Class 11 NCERT solutions and concept-based lectures. #Class11Maths #NCERTSolutions #TrigonometricFunctions #MathPathshala
