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Trigonometry

Trigonometry studies relationships between the sides and angles of triangles. It introduces the sine, cosine, and tangent functions and extends them to the unit circle, inverse trig functions, and trigonometric identities. Trigonometry is essential for physics, engineering, navigation, and is a key prerequisite for calculus.

Key Concepts

Area of a Kite

Area of a kite is half the product of its two diagonals. Because the diagonals of a kite are always perpendicular to ...

arcsin

Inverse sine is the function that takes a ratio (between −1 and 1) and returns the angle whose sine equals that ratio...

Arcsin

Inverse sine is the function that takes a ratio (between −1 and 1) and returns the angle whose sine equals that ratio...

Inverse Sine

Inverse sine is the function that takes a ratio (between −1 and 1) and returns the angle whose sine equals that ratio...

sin-1

Inverse sine is the function that takes a ratio (between −1 and 1) and returns the angle whose sine equals that ratio...

Sin-1

Inverse sine is the function that takes a ratio (between −1 and 1) and returns the angle whose sine equals that ratio...

arccot

Inverse cotangent is the function that takes a real number and returns the angle whose cotangent equals that number. ...

Arccot

Inverse cotangent is the function that takes a real number and returns the angle whose cotangent equals that number. ...

cot-1

Inverse cotangent is the function that takes a real number and returns the angle whose cotangent equals that number. ...

Cot-1

Inverse cotangent is the function that takes a real number and returns the angle whose cotangent equals that number. ...

ctg-1

Inverse cotangent is the function that takes a real number and returns the angle whose cotangent equals that number. ...

Ctg-1

Inverse cotangent is the function that takes a real number and returns the angle whose cotangent equals that number. ...

All Trigonometry Terms (85)

Frequently Asked Questions

What is trigonometry?
Trigonometry is the branch of mathematics that studies relationships between side lengths and angles of triangles. The three primary trigonometric functions — sine, cosine, and tangent — relate angles to ratios of sides in right triangles.
What is SOHCAHTOA?
SOHCAHTOA is a mnemonic for remembering the three basic trig ratios: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.
Why is the unit circle important?
The unit circle extends trigonometric functions beyond right triangles to all real numbers. It shows how sine and cosine values repeat every 2π radians (360°) and provides exact values for common angles like 30°, 45°, and 60°.

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