What is the value of Sin 40

Calculator: Trigonometry - calculate sine, cosine, tangent

All trigonometry formulas at a glance

Here you can see the necessary trigonometry formulas:

Sin (alpha) = opposite cathetus / hypotenuse → sin (α) = GK / HY

Cosine (alpha) = adjacent / hypotenuse → cos (α) = AK / HY

Tangent (alpha) = side / side → tan (α) = GK / AK

Kosekans (alpha) = 1 / sine (alpha) = hypotenuse / opposite cathetus → csc (α) = 1 / sin (α) = HY / GK

Secans (alpha) = 1 / cosine (alpha) = hypotenuse / adjacent → sec (α) = 1 / cos (α) = HY / AK

Cotangent (alpha) = 1 / tangent (alpha) = adjacent / opposite side → cot (α) = 1 / tan (α) = AK / GK

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What is trigonometry?


Trigonometry can be translated as triangular measurement. Trigonometry is a branch of geometry and is based on Ratio values ​​in the right triangle. The first mathematician who verifiably documented these relationships was Hipparchus (190-120 BC). More than 600 years after him, the mathematician Aryabatha (476-550 AD) had transferred this principle to right triangles, from which our modern trigonometry derives. For the history see TRI01 Introduction to Trigonometry. The trigonometry shown above in the coordinate system belongs to the "plane trigonometry". Trigonometry can also be used on curved planes in space (e.g. on a sphere), then one speaks of "spherical trigonometry".

Necessary knowledge to understand the topic:

Inscriptions on the triangle: opposite side, adjacent side, hypotenuse

to start a programm

Word origin:

The word "trigonometry" is a compound word. It can be translated individually as: tri - three, gono - corner, metrie - measure. Trine means "triangle" in Greek.

Sine, cosine, and tangent values ​​are ratio values

Regardless of how a right-angled triangle is scaled (i.e. enlarged or reduced), the ratio values ​​of the sides to one another always remain the same. Trigonometry is based on this fact. The videos in Lesson TRI04: Sine and Cosine (explained simply) shed light on this.

Degrees or radians

Angles can be specified in degrees (e.g. 180 °) or radians (π rad). There are other units of measure for angles, but degrees and radians are the most commonly used.

Trigonometry - A Comprehensive Subject Common Questions and Answers

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