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Trigonometric Ratios (3:40): The video introduces the six basic trigonometric ratios (sine, cosine, tangent, cotangent, cosecant, and secant) as ratios of sides in a right-angled triangle. Reciprocal Identities (5:52): The instructor explains the reciprocal relationships between trigonometric functions, such as `sinθ = 1/cosecθ` (5:58) and `cosθ = 1/secθ` (6:23). Quotient Identities (7:00): The video covers how `tanθ` can be expressed as `sinθ/cosθ` (7:04) and `cotθ` as `cosθ/sinθ` (7:21). Pythagorean Identities (11:56): A significant portion of the lesson is dedicated to deriving and explaining the three main Pythagorean identities: `sin²θ + cos²θ = 1` (12:33) `cosec²θ - cot²θ = 1` (13:08) `sec²θ - tan²θ = 1` (14:41) The video also demonstrates how to use these identities to solve problems (16:36). Pythagorean Triplets (22:47): The instructor introduces common Pythagorean triplets (e.g., 3-4-5, 5-12-13) and explains how to generate new triplets from existing ones (23:37). He also shows a method for creating triplets based on odd and even numbers (29:38). Problem Solving (34:28): The video concludes with various examples and practice questions, applying the learned concepts of trigonometric ratios, identities, and triplets to solve typical exam-style problems. Whether you're a beginner or aiming for a 100% score, this video will help you boost your performance and crack SSC CGL 2025 confidently! 📌 Must Watch for: ✔️ SSC CGL Aspirants (Pre & Mains) ✔️ SSC CHSL, CPO, MTS, GD & Other Govt Exam Candidates ✔️ Anyone looking to improve Maths problem-solving speed & accuracy . . . . . . . . . . . . . . . . . . . . / . . . . All Type Questions 🔥 by Aditya Ranjan Sir Maths | Time & Distance | Rankers Gurukul #MathsWizardAdityaRanjan #adityaranjantalks #rankersgurukul #adityaranjan #railway #railwaymaths #mathspracticeset #rankersgurukul #timespeedanddistance #timespeeddistance #timeanddistance #timeandspeed