NIMCET 2026 | Trigonometry Equation Part - 3 | NIMCET 2026 Preparation

Описание: Prepare smartly for NIMCET 2026 with this detailed session on Trigonometric Equations – Part 3. In this class, you will learn all the important concepts, formulas, and problem-solving techniques of Trigonometric Equations that are frequently asked in the NIMCET exam.

This lecture is specially designed for NIMCET 2026 preparation, covering concept clarity, step-by-step solutions, and exam-oriented questions to help you score maximum marks in the Mathematics section.

📌 What you’ll learn in this video:

Basics of Trigonometric Equations
Standard forms & important identities
Solving Trigonometric Equations step by step
NIMCET level questions & approach
Common mistakes to avoid in exam
This session is highly useful for BCA graduates aiming for MCA admission through NIMCET 2026. Watch the full video and strengthen your Trigonometry fundamentals for upcoming exams.

Timestamps-
[00:00] Intro: Welcome to NIMCET Trigonometry Equations Part 2
[01:25] Recap: Summary of Part 1 Concepts and Standard Solutions
[05:34] NIMCET 2013 PYQ: Solving $\sin(x) + 1 = \cos(x)$ using Value Substitution
[08:30] Pro-Tip: Why you must check all options before clicking "A"
[09:10] NIMCET 2018 PYQ: Finding Number of Solutions for $\sin(5x) + \sin(x) = \sin(3x)$
[12:34] Logic: Why cancelling terms leads to loss of roots in trig equations
[14:38] NIMCET 2021 PYQ: Simultaneous solutions for $\sin(\theta)$ and $\tan(\theta)$
[18:16] General Solution 1: $\sin(\theta) = \sin(\alpha) \rightarrow \theta = n\pi + (-1)^n \alpha$
[22:59] Concept: Selecting the correct $\alpha$ using Bijective Function principles
[30:34] NIMCET 2011 PYQ: General value of $\theta$ for $2\cos^2(\theta) + 3\sin(\theta) = 0$
[34:49] General Solution 2: $\cos(\theta) = \cos(\alpha) \rightarrow \theta = 2n\pi \pm \alpha$
[36:32] Practice Challenge: Solving $3\sec(2\theta) = 2$ step-by-step
[40:23] General Solution 3: $\tan(\theta) = \tan(\alpha) \rightarrow \theta = n\pi + \alpha$
[41:41] Practice Challenge: Solving $\tan(3\theta) = -1$ and identifying the correct quadrant
[45:21] Elimination Trick: Solving $\tan(\theta) + \cot(\theta) = -1$ without complex math
[48:25] Practice: Solving $\tan(5\theta) = \cot(2\theta)$ using complementary angle properties
[52:19] Special Forms: General solution for $\sin^2(\theta) = \sin^2(\alpha)$ and its variations
[53:53] Advanced Set: Solving $7\cos^2(\theta) + 3\sin^2(\theta) = 4$ using square rules
[59:04] Summary Table: All general solution formulas for NIMCET 2026
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