“우리 대부분은 초라한 옷차림과 엉터리 가구들을 부끄럽게 여기지만, 초라한 생각과 엉터리 철학을 부끄럽게 여길 줄 알아야 한다.” – Albert Einstein

19900104
trigonometry definition

https://www.eeweb.com/tools/trigonometry-definition-reference-sheet

Right Triangle Definition

To define the trigonometric functions of an angle theta assign one of the angles in a right triangle that value. The functions sine, cosine, and tangent can all be defined by using properties of a right triangle. A right triangle has one angle that is 90 degrees. The longest side of the triangle is the hypotenuse. The side opposite theta will be referred to as opposite. The other side next to theta will be referred to as adjacent. The following properties exist:

Sine Definition
latex!encoded:base64,c2luXHRoZXRhPVxmcmFje29wcG9zaXRlfXtoeXBvdGVudXNlfQ==
Cosine Definition
latex!encoded:base64,Y29zXHRoZXRhPVxmcmFje2FkamFjZW50fXtoeXBvdGVudXNlfQ==
Tangent Definition
latex!encoded:base64,dGFuXHRoZXRhPVxmcmFje29wcG9zaXRlfXthZGphY2VudH0=
Cosecant Definition
latex!encoded:base64,Y3NjXHRoZXRhPVxmcmFje2h5cG90ZW51c2V9e29wcG9zaXRlfQ==
Secant Definition
latex!encoded:base64,c2VjXHRoZXRhPVxmcmFje2h5cG90ZW51c2V9e2FkamFjZW50fQ==
Cotangent Definition
latex!encoded:base64,Y290XHRoZXRhID0gXGZyYWN7YWRqYWNlbnR9e29wcG9zaXRlfQ==

Unit Circle Definition

latex!encoded:base64,c2luXHRoZXRhID0geQ==
latex!encoded:base64,Y29zXHRoZXRhID0geA==
latex!encoded:base64,dGFuXHRoZXRhID0gXGZyYWN7eX17eH0=
latex!encoded:base64,Y3NjXHRoZXRhID0gXGZyYWN7MX17eX0=
latex!encoded:base64,c2VjXHRoZXRhID0gXGZyYWN7MX17eH0=
latex!encoded:base64,Y290XHRoZXRhID0gXGZyYWN7eH17eX0=

Properties of Trig Functions

Domain

The possible angle input for each function is defined below:

latex!encoded:base64,c2luXHRoZXRhIFwgLCBcdGhldGE=

 can be any angle

latex!encoded:base64,Y29zXHRoZXRhIFwgLCBcdGhldGE=

 can be any angle

latex!encoded:base64,dGFuXHRoZXRhLCBcdGhldGEgXG5lcSBcbGVmdCAoIG4gKyBcZnJhY3sxfXsyfSBccmlnaHQgKSBccGkgLCBuPTAsXHBtMSxccG0yLC4uLg==
latex!encoded:base64,Y3NjXHRoZXRhLCBcdGhldGEgXG5lcSBuXHBpLCBcIG49MCxccG0xLFxwbTIsLi4u
latex!encoded:base64,c2VjXHRoZXRhLCBcdGhldGEgXG5lcSBcbGVmdCAoIG4gKyBcZnJhY3sxfXsyfSBccmlnaHQgKSBccGkgLCBuPTAsXHBtMSxccG0yLC4uLg==
Range

The ranges of values possible for each of these functions are:

latex!encoded:base64,LTFcbGVxIHNpblx0aGV0YVxsZXEx
latex!encoded:base64,LTFcbGVxIGNvc1x0aGV0YVxsZXEx
latex!encoded:base64,LVxpbmZ0eVxsZXEgdGFuXHRoZXRhXGxlcVxpbmZ0eQ==
latex!encoded:base64,Y3NjXHRoZXRhXGdlcSAxIFwgYW5kIFwgY3NjXHRoZXRhXGxlcS0x
latex!encoded:base64,c2VjXHRoZXRhXGdlcSAxIFwgYW5kIFwgc2VjXHRoZXRhXGxlcS0x
latex!encoded:base64,LVxpbmZ0eVxsZXEgY290IFx0aGV0YSBcbGVxIFxpbmZ0eQ==
Period

The periods for each of these trig functions are:

latex!encoded:base64,c2luKFxvbWVnYVx0aGV0YSkgXHRvIFQ9XGZyYWN7MlxwaX17XG9tZWdhIH0=
latex!encoded:base64,Y29zKFxvbWVnYVx0aGV0YSkgXHRvIFQ9XGZyYWN7MlxwaX17XG9tZWdhIH0=
latex!encoded:base64,dGFuKFxvbWVnYVx0aGV0YSkgXHRvIFQ9XGZyYWN7XHBpfXtcb21lZ2EgfQ==
latex!encoded:base64,Y3NjKFxvbWVnYVx0aGV0YSkgXHRvIFQ9XGZyYWN7MlxwaX17XG9tZWdhIH0=
latex!encoded:base64,c2VjKFxvbWVnYVx0aGV0YSkgXHRvIFQ9XGZyYWN7MlxwaX17XG9tZWdhIH0=
latex!encoded:base64,Y290KFxvbWVnYVx0aGV0YSkgXHRvIFQ9XGZyYWN7XHBpfXtcb21lZ2EgfQ==

Inverse Trig Functions

Definition of Inverse Trig Functions

The definitions of the inverse trig functions are:

latex!encoded:base64,eT1zaW5eey0xfXggIFwgXHRleHR1cHt3aGVyZX0gXCB4ID0gc2lueQ==
latex!encoded:base64,eT1jb3Neey0xfXggIFwgXHRleHR1cHt3aGVyZX0gXCB4ID0gY29zeQ==
latex!encoded:base64,eT10YW5eey0xfXggIFwgXHRleHR1cHt3aGVyZX0gXCB4ID0gdGFueQ==

Inverse Trig functions are also notated as:

latex!encoded:base64,c2luXnstMX14XGVxdWl2IGFyY3NpbnggXGVxdWl2IEFzaW54
latex!encoded:base64,Y29zXnstMX14XGVxdWl2IGFyY2Nvc3ggXGVxdWl2IEFjb3N4
latex!encoded:base64,dGFuXnstMX14XGVxdWl2IGFyY3RhbnggXGVxdWl2IEF0YW54
Domain of Inverse Trig Functions
latex!encoded:base64,c2luXnstMX14OiAtMSBcbGVxIHggXGxlcTE=
latex!encoded:base64,Y29zXnstMX14OiAtMSBcbGVxIHggXGxlcTE=
latex!encoded:base64,dGFuXnstMX14OiAtXGluZnR5IFxsZXEgeCBcbGVxXGluZnR5
Range of Inverse Trig Functions
latex!encoded:base64,c2luIFx0aGV0YSwgXHRoZXRh

 can be any angle

latex!encoded:base64,Y29zIFx0aGV0YSwgXHRoZXRh

 can be any angle

latex!encoded:base64,dGFuIFx0aGV0YSxcdGhldGEgXG5lIChuICtcZnJhY3sxfXsyfSkgXHBpLCBuID0gMCwgXHBtMSxccG0yLC4uLg==

댓글 남기기 | cat > 사락사락

댓글 남기기

* 표시된 곳은 반드시 입력해주세요