Special Right Triangles 30-60-90 & 45-45-90 (3 Easy Methods Explained)

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@gaming4all568 4 жыл бұрын

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@avgmoose2568 2 жыл бұрын

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@ibraheemayub3894 2 жыл бұрын

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@alnajersailama5732 2 жыл бұрын

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@nicholaspacheco8922 3 жыл бұрын

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@newsiito 4 жыл бұрын

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@Placd Жыл бұрын

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@MariosMathTutoring Жыл бұрын

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@admanplays3390 4 жыл бұрын

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@yarayazdanfar2807 3 жыл бұрын

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@kyodairiker 4 жыл бұрын

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@maezzyque4765 4 жыл бұрын

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@nyxneptunia 3 жыл бұрын

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@personontheinternet1 4 жыл бұрын

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@herbcruz4697 4 жыл бұрын

Personally, I think that finding trig values for (pi/6) radians (30 degrees), (pi/4) radians (45 degrees), or (pi/3) radians (60 degrees) is easier when using the special right triangles (i.e., the 45-45-90 (which is isoceles) right triangle and the 30-60-90 right triangle), as opposed to using the unit circle (It isn't easy to memorize all of the points on the Unit Circle). Then, if an angle is a reference angle to one of these angles in another quadrant (i.e., that many degrees away from the x-axis), then I remember this acronym: All Students Take Calculus (explained below), because the trig values will be almost exactly the same, only (possibly) differing by the sign (i.e., whether it is positive or negative). All: In the first quadrant (i.e., in Quadrant I), All six trig functions (i.e., sin(x), cos(x), tan(x), csc(x), sec(x), and cot(x)) (Notice how the "A" is capitalized) are positive. Students: In the second quadrant, only Sin(x) (Hence, also csc(x)) (Notice how the "S" is capitalized) are positive. All of the other four trig functions are negative, in Quadrant II. Take: In the third quadrant, only Tan(x) (Hence, also cot(x)) (Notice how the "T" is capitalized) are positive. All of the other four trig functions are negative, in Quadrant III. Calculus: In the fourth quadrant, only Cos(x) (Hence, also sec(x)) (Notice how the "C" is captialized) are positive. All of the other four trig functions are negative, in Quadrant IV. I only use the Unit Circle to evaluate trig values for quadrantal angles (i.e., 0 radians (0 degrees), (pi/2) radians (90 degrees), pi radians (180 degrees), ((3*pi)/(2)) radians (270 degrees), 2*pi radians (360 degrees), etc.). From there, you remember that, on the Unit Circle, the x-coordinate of the point is the cosine of the angle, and the y-coordinate of the point is the sine on the angle.