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What is tangent equal to? The tangent function (tan), is a trigonometric function that relates the ratio of the length of the side opposite a given angle in a right-angled triangle to the length of …

The values of the trigonometric functions of these angles for specific angles satisfy simple identities: either they are equal, or have opposite signs, or employ the complementary …

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We define these functions by using the angle of a right triangle that is inserted in a unitary circle. Then, we relate that angle to the sides of such a triangle. As the right triangle is circumscribed …

Sine Function:sin (θ) = Opposite / Hypotenuse. Cosine Function:cos (θ) = Adjacent / Hypotenuse. Tangent Function:tan (θ) = Opposite / Adjacent. When we divide Sine by Cosine we get: So …

Mar 7, 2025 · They are based on the six fundamental trigonometric functions: sine (sin), cosine (cos), tangent (tan), cosecant (cosec), secant (sec), and cotangent (cot). All the identities are …

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To prove the triple-angle identities, we can write sin 3 θ sin3θ as sin (2 θ + θ) sin(2θ+θ). Then we can use the sum formula and the double-angle identities to get the desired form: The triple …

Aug 2, 2023 · Sin (π/2 – θ) = Cosθ, Cos (π/2 – θ) = Sinθ, Tan (π/2 – θ) = Cotθ: These identities define the relationships between trigonometric functions and their complementary angles.