Simplifying Trig Identities: Beginner Vs Advanced

Comments · 16

• BR

  @brianmclogan · 7 months ago · pinned

  Simplify 24 Trigonometric Expressions With Identities.<a href="https://www.youtube.com/watch?v=xG3jlzQ9jDw">https://youtu.be/xG3jlzQ9jDw?si=4_FaLYumwuCjyjQd</a>

• DR

  @dr.ramanik.v.n8643 · 7 months ago

  Thank you so much!<br>It helped me a lot!!

  1

• BU

  @Budgeman83030 · 3 months ago

  Thank you Mr McLogan for the video. &nbsp; I used the second as well. &nbsp; It seemed more intuitive, to me, to solve the problem

• KI

  @King_Nico_Gaming · 7 months ago

  i really appreciate you you helped me pass the whole trimester i subscribed and liked a lot of your videos ❤

  1

• TR

  @Treatforsharpeningmind · 7 months ago

  This video from Brian McLogan compares beginner and advanced approaches to simplifying a trigonometric expression: \frac{\tan x}{\sec x - 1} &nbsp;$ down to $ &nbsp;\sec x + 1 &nbsp;<br><br>For adults looking to revive long-forgotten trig skills from high school or early college, it&apos;s a strong, targeted resource—especially if trigonometry feels like a hazy memory:<br><br>Dual-level explanations — It walks through a beginner method (converting everything to sine and cosine, then algebraic simplification) and a faster advanced one (using key identities like &nbsp; \tan^2 x + 1 = \sec^2 x &nbsp;. This is perfect for rusty learners: start with the familiar &quot;grind it out&quot; approach to rebuild basics, then see the elegant shortcut to understand deeper connections.<br><br>Step-by-step clarity — The presenter breaks down each move slowly and conversationally, with clear on-screen algebra. No rushing or assuming prior knowledge—ideal when you&apos;re relearning and need reminders on fundamentals like rewriting secant/tangent or handling denominators.<br><br>Highlights common sticking points — Trig identities often trip people up because they require pattern recognition. The video explicitly addresses &quot;if you&apos;re stuck, convert to sines and cosines&quot; while encouraging the shift to identity-based thinking, helping bridge from mechanical recall to intuitive understanding.<br><br>Motivates progression — Seeing the same problem solved in two ways (one methodical, one quick) gives that satisfying &quot;aha&quot; moment and shows how practice leads to efficiency. Great for building confidence without overwhelm.<br><br>Concise and practical — At around 10-15 minutes (typical for this channel), it&apos;s focused—no fluff, just the problem and solutions. Easy to watch, pause, and rework yourself.<br><br>Overall, if trig was something you once knew but has faded, this is an excellent re-entry point. It refreshes core techniques while gently pushing toward mastery, making math feel approachable again rather than intimidating. Pair it with similar videos on the channel for steady progress—highly recommended for anyone easing back into precalc or calculus prerequisites!

  1

• MO

  @MohamedWael-uq4qm · 8 months ago

  Where is the Formula sheet Mr. Brian ?? <a href="https://www.youtube.com/watch?v=i2d-AW4ugrc&amp;t=356">5:56</a>

• JB

  @jbfrexw · 7 months ago

  I need video on number

• CH

  @Chandar-88 · 7 months ago

  =sin^2x /cos^2x &nbsp;× &nbsp;cosx/(1+cosx)<br>=sin^2x /cosx &nbsp;× &nbsp;1/(1+cosx)<br>=(cos^2×-1)/cosx (1+cosx)<br>=(1+cosx)(1-cosx)/(1+cosx).cosx <br>=1-cosx/cosx <br>=1/cosx-cosx/cosx <br>=secx-1//

• CH

  @Chandar-88 · 7 months ago

  =(secx+1)(secx-1)/(secx+1)<br>=sec^2x -1/(secx+1)<br>=(secx+1)(secx-1)/(secx+1)<br>=secx-1//