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sin

Trigonometry Formulas

Trigonometric functions, identities, and laws for angles and triangles.

Sine Definition

sin⁡θ=oppositehypotenuse\sin\theta = \frac{opposite}{hypotenuse}sinθ=hypotenuseopposite​

Basic sine ratio in a right triangle.

Cosine Definition

cos⁡θ=adjacenthypotenuse\cos\theta = \frac{adjacent}{hypotenuse}cosθ=hypotenuseadjacent​

Basic cosine ratio in a right triangle.

Tangent Definition

tan⁡θ=oppositeadjacent\tan\theta = \frac{opposite}{adjacent}tanθ=adjacentopposite​

The ratio of the opposite side to the adjacent side in a right triangle.

Pythagorean Identity

sin⁡2θ+cos⁡2θ=1\sin^2\theta + \cos^2\theta = 1sin2θ+cos2θ=1

The fundamental trigonometric identity stating that the square of the sine plus the square of the cosine equals one.

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