Never memorize the Unit Circle! Learn Trigonometry visually with an intuitive Hand Trick
Do NOT memorize the unit circle! This lesson will teach you a simple hand trick for evaluating trig functions while also developing an intuitive understanding of why the trig functions work.
This lesson also includes a thorough trigonometry review including:
• Degrees/Radians unit conversion
• The Unit Circle
• SOH CAH TOA and the basic trig functions
• Reciprocal trig functions
• Inverse trig functions
• Angles not between 0 to 360
• Worked examples
• Real-world applications
I highly encourage you to pull out a notepad and write along with me
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Visit my website (link in channel) to download the PDF of the notes from this video, or to schedule 1-on-1 virtual tutoring sessions.
0:00 Introduction
0:40 The Unit Circle, Converting Degrees & Radians
4:23 SOH CAH TOA the basic Trig Functions
7:20 Reciprocal and Inverse Trig Functions
17:52 Signs of sin, cos, and tan in each quadrant
22:17 The Trigonometry Hand Trick
25:07 Ex 1 π/3
28:49 Ex 2 0°
30:46 Ex 3 π/4
33:17 Reference angle
35:32 Ex 4 225°
39:30 Ex 5 390°
42:39 Ex 6 -270°
47:39 Ex 7 1050°
52:39 Ex 8 cos( -8π/3 )*csc^2( -8π/3 )
1:00:07 Ex 9 sin( 945° )*sec( 945° )*tan( 945° )*cot( 945° )/cos( 945° )
1:06:53 Ex 10 inv sin( - √(2)/2 ) in degrees
1:11:41 Ex 11 inv cos( 1/2 ) in radians
1:14:14 Ex 12 inv tan( √(3)/3 ) in degrees
1:18:16 Ex 13 inv csc( 2 ) in radians
1:22:22 Ex 14 inv sec( -1 ) in degrees
1:26:23 Ex 15 inv cot( √3 ) in radians
1:29:10 Ex 16 x and y component of velocity
1:35:51 Ex 17 forestry tree height measurement
1:47:28 Ex 18 geology reflective layer slope and aspect