mind mapping explained - Mind Map

Apr11

Six trig functions and properties

sine(sin)

the trigonometric function that is equal to the ratio of the side opposite a given angle (in a right triangle) to the hypotenuse.

opposite over adjacent

cosine(cos)

the trigonometric function that is equal to the ratio of the side adjacent to an acute angle to the hypotenuse.

Adjacent over hypotenuse

tangent(tan)

The length of the side opposite the angle divided by the length of the adjacent side

opposite over adjacent

cosecant(csc)

The length of the hypotenuse divided by the length of the side opposite the angle.

hypotenuse over opposite

secant(sec)

The length of the hypotenuse divided by the length of the adjacent side.

hypotenuse over adjacent

cotangent(cot)

The length of the adjacent side divided by the length of the side opposite the angle.

adjacent over opposite

Fundamentals of trig identities

Reciprocal Identities

Trig identities defining cosecant, secant, and cotangent in terms of sine, cosine, and tangent.

Qoutient Identities

defines the relations for tangent and cotangent in terms of sine and cosine.

Pythagorean Identities

Trig identities relating sine with cosine, tangent with secant, and cotangent with cosecant. Derived from the Pythagorean theorem.

Laws of sines and the law of cosine

Law of Sine

the ratio of each side of a plane triangle to the sine of the opposite angle is the same for all three sides and angles

Law Of Cosine

the square of a side of a plane triangle equals the sum of the squares of the remaining sides minus twice the product of those sides and the cosine of the angle between them

Area formulas for any triangle

Inverse Functions

Trig Graph

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