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mezya [45]
2 years ago
6

Que es el teorema del coseno

Mathematics
2 answers:
aalyn [17]2 years ago
7 0

Answer:

In trigonometry, the law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. Using notation as in Fig. 1, the law of cosines states where γ denotes the angle contained between sides of lengths a and b and opposite the side of length c.

Example:

The law of cosines allows us to find angle (or side length) measurements for triangles other than right triangles. The third side in the example given would ONLY = 15 if the angle between the two sides was 90 degrees. In the example, the angle between the two sides is NOT 90 degrees; it's 87.

kakasveta [241]2 years ago
6 0

Answer:

La regla del coseno establece que el cuadrado de la longitud de cualquier lado de un triángulo es igual a la suma de los cuadrados de la longitud de los otros lados menos el doble de su producto multiplicado por el coseno de su ángulo incluido.

Step-by-step explanation:

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\sf{Given : 3tanx + 7 = \dfrac{2}{(1 - sinx)(1 + sinx)}}

We know that : (a - b)(a + b) = a² - b²

\implies \sf{3tanx + 7 = \dfrac{2}{1 - sin^2x}}

We know that : 1 - sin²x = cos²x

\implies \sf{3tanx + 7 = \dfrac{2}{cos^2x}}

\sf{\bigstar \ \ We \ know \ that : \boxed{\sf{\dfrac{1}{cos^2x} = sec^2x}}}

\implies \sf{3tanx + 7 = 2sec^2x}

We know that : sec²x = 1 + tan²x

\implies \sf{3tanx + 7 =2(1 + tan^2x)}

\implies \sf{2 + 2tan^2x - 3 tanx - 7 = 0}

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