What is the period length of sin, cos, and tangent functions?

the period if sin and cos is 2pi and tan is pi.

but you are talking about Sin, Cos and Tan which are the restricted domain functions

Sin is from -pi/2 to pi/2

Cos is 0 to pi

Tan id o to pi, I think.

Radian is a diploma of perspective, only as diploma is. a million diploma = a million/360 of a circle. So how plenty is one radian? while you're taking the radius of the circle, and lay it around the circle (think of of a bite of string whose length is the radius wrapped around the circle), then in case you draw strains to the two end of it, the perspective between them is a million radian. this is the definition: "the perspective subtended by using a million radius of arc" in math talk. it works out to be approximately fifty seven.3 stages and precisely 2 pi (that's certainly no longer an integer) angles of a million radian each and every will make an entire circle. (it truly is approximately 6 and a million/4 of them, or 6.28 slightly greater wisely). only as 360 angles of a million diploma make an entire circle. and actually it truly is all there is to it. because of the fact 2 pi of them make a circle, fractions of a circle (in any different case widespread as angles) are often expressed in terms of pi. each and every perspective is a few variety of radians and additionally some equivalent variety of stages. utilising pi radians = a hundred and eighty stages, it is complication-free to get different equivalents. that's a table --- ---- ----- ---- stages .... Radians 0 .... ... ... .... 0 30 ... ... ... .... pi/6 ... (when you consider that a hundred and eighty/6 = 30) 40 5 ... . ... .... ..pi/4 60 .... ... ... .... pi/3 ninety ... ... ... .... pi/2 a hundred and twenty ... .... .... 2 pi / 3 a hundred thirty five ... .... .... 3 pi / 4 a hundred and fifty .... .... .... 5 pi / 6 a hundred and eighty .... .... .... pi you may save getting in this manner. the perspective on your situation ... 4 pi / 3 = 4 * 60 stages or 240 stages. So only because of the fact the factor on the unit circle for 60 stages (or pi / 3) has (x, y) coordinates of (a million/2, sqrt(3)/2) the only for 240 stages = (a hundred and eighty + 60) or 4 pi /3 has coordinates (-a million/2, - sqrt(3) / 2). those coordinates are the place the line from the inspiration intersects the unit circle if it is drawn on the desired perspective.