Solve trig equations with exact solutions - the easy way (unit circle)

A simple way to visualise trigonometric equations lets us solve them quickly using spatial intuition. No need for CAST or ASTC (all stations to central/all students take calculus) mnemonics. I remember Dr Hoffman saying "This is how trigonometry should be taught in schools" before he showed us these techniques.

In this video I'll just be covering simple trig equations with exact solutions, for both degrees and radians. For example, equations like sin theta = -1/2, cos theta = sqrt(2)/2, tan theta = -sqrt(3), sin theta = -sqrt(3)/2, cos theta = 1/2, tan theta = -1, and sin theta = 0. And I'll show you how to work with radians so you can find angles like 11pi/6 or 5pi/4 on the unit circle.

[anonycreator]

Everything was crystal clear after watching this video. Thank you madam. 😊

[FapMasterable]

May i ask what equipment/software you use to make your videos? (mainly for the writing part)

[hila]

Omg tysm u just saved my ass from another fail 💀

[ldiazmdiaz]

*Remember that all pi/6 (siX) are on the "X" coordinates and +/- 30 degree away from "X".
*All pi/3 are on the "Y" coordinates +/- 30 degree away from "Y".
*All pi/4 are in the middle of the "X" and "Y" coordinates and they have +/- 15 degree away from the pi/3 and pi/4.
*Now let me remind you about PRIME NUMBERS like on the 4th quadrant starting at 270 degree, they (the numerators) are 3, 5, 7, 11 easy to remember 3pi/2, 5pi/3, 7pi/4, 11pi/6.
*Notice the denominators starting only on the (+/-) "Y" coordinate from right and them left 2, 3, 4, 6 are everywhere...make sure to skip number 5 as a denominator..does not exist.
*Notice the difference of 1 in quadrant 2... the (smaller numerator)/(large denominator).
*Notice the difference of 1 in quadrant 3... the (large numerator)/(small denominator).

[gustavotrevizo]

Very smart, intelligent and beautiful woman...