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How cool is trig

Sine and cosine of an angle defined using the unit circle. Think about that. You can determine every point along that Unit Circle knowing the radius and using Sin and cosine of that angle.

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Lisa82 · 41-45, F
@SomeMichGuy yes love it!
@Lisa82 Proving trig identities is easier...waves are easier...

And knowing the Taylor-Maclaurin expansions of those functions is pretty important for approximations, etc.

Muthafukajones · 46-50, M
I loved trigonometry when I first learned about it in grade 10. If you really enjoy it you could expand your interest into analytic geometry and trigonometric identities or spherical trigonometry!!
LOL! I used to think so!
Lisa82 · 41-45, F
@Guardian it has several applications but not outside of engineering, physics, astronomy, and navigation
@Lisa82 so I found out!
ArishMell · 70-79, M
@Lisa82 So covering a huge range of applications, then.

Among other things, I gather polar vectors are involved in Harmonic Analysis (of sound, vibration and electrical signals) and alternating-current electrical principles including for example the time delay between voltage and current in each cycle. They also bring in Complex Numbers as the sin and cosine become negative in some quadrants.
JoyfulSilence · 51-55, M
Also, draw a line tangent to the circle, touching it at the point P where the radius at angle theta touches the circle.

Suppose the tangent line intersects the x-axis at the point A=(a,0), and intersects the y-axis at the point B = (0,b).

Then the length of the segment AP on the tangent line equals the tangent of theta.

The length of the segment BP equals the cotangent of theta which is the tangent of the complemantary angle of theta

a = secant of theta
b = cosecant of theta = secant of the complemantary angle of theta

The cosine is the sine of the complemantary angle of theta
Lisa82 · 41-45, F
@JoyfulSilence awesome. Great job
WowwGirl · 36-40, F
Pisciatto1 · 26-30, M
The beauty of trigonometry.
I barely passed pre algebra
Lisa82 · 41-45, F
@NativePortlander1970 can always learn
@Lisa82 I'm 55, I personally have no use for it.

 
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