what is so special for using the unit circle for definig the trignometric ratios....why are we introduced to the trig. ratios by using the help of a unit circle
2007-02-18 04:48:47 · 8 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
The until circle has radius one. When defining the trigonometric functions, the radius of the circle is used. Multiplying and dividing by one has the convenience of not changing the fundamental results.
2007-02-18 04:51:37 · answer #1 · answered by JasonM 7 · 3⤊ 0⤋
Definition Of Unit Circle
2016-11-13 02:31:07 · answer #2 · answered by dorval 4 · 0⤊ 0⤋
Then the ratios are from the numbers that are on the circle (sine = opposite over hypotenuse which equals 1.) and then you can multiply to get other ratios easily. Would you like to learn by having to take the ratios of opposite to 33 1/3?
2007-02-18 04:53:44 · answer #3 · answered by Mike1942f 7 · 0⤊ 1⤋
Cosine is adjoining over hypotenuse. Draw the unit circle and then draw a radius. The radius is the hypotenuse, with the perspective between the advantageous x-axis and the radius as theta. as a result, cosine theta corresponds to the x over the hypotenuse (a million) or x. It follows that sin theta (opp/hyp) is the y over hypotenuse, or y.
2016-11-23 16:48:40 · answer #4 · answered by tabbitha 4 · 0⤊ 0⤋
By using triangles, you can only define trigonometric ratios for angles from 0 to 90 degrees. By using a full circle, however, you can define trigonometric ratios for all angles.
2007-02-18 04:53:40 · answer #5 · answered by ip 2 · 0⤊ 1⤋
The advantage is that in the unit circle, the Hypotenuse becomes one. Therefore, sin ∅ = y and cos ∅ = x.
2007-02-18 04:55:59 · answer #6 · answered by sahsjing 7 · 0⤊ 1⤋
One
2007-02-18 04:51:17 · answer #7 · answered by lynn y 3 · 0⤊ 1⤋
The unit circle's radius is one, that's why it's called UNIT circle.
2007-02-18 05:51:39 · answer #8 · answered by Anonymous · 0⤊ 1⤋