Matemáticas, pregunta formulada por acecilia23ct, hace 8 meses

Reduce la siguiente expresión: F = (cos 180° + csc 90° + 2sec 360°):(1 – sen3π/2)

Respuestas a la pregunta

Contestado por MaqueraRivasLuisArtu
0

Hola!

Respuesta:

F = 1

Explicación paso a paso:

) Solución:

F =  \cos</strong><strong>(</strong><strong>180</strong><strong>)</strong><strong> </strong><strong>+</strong><strong>  \csc</strong><strong>(</strong><strong>90</strong><strong>)</strong><strong> + 2 \sec</strong><strong>(</strong><strong>360</strong><strong>)</strong><strong> \div (1 -  \sin \frac{3\pi}{2} ) \\ F = \frac{ ( \cos</strong><strong>(</strong><strong>180</strong><strong>)</strong><strong> +  \csc</strong><strong>(</strong><strong>90</strong><strong>)</strong><strong> + 2 \sec</strong><strong>(</strong><strong> </strong><strong>360</strong><strong>)</strong><strong>)}{(1 -  \sin \frac{3\pi}{2} )} \\ F = \frac{ ( - 1 + 1 + 2(1))}{(1 -  \sin</strong><strong>(</strong><strong>270</strong><strong>)</strong><strong>) }  \\ F = \frac{2}{1 - ( - 1)}  \\ F = \frac{2}{2}  \\ F = 1

) Recordemos:

 </strong><strong>\</strong><strong>p</strong><strong>i</strong><strong> </strong><strong>=</strong><strong> </strong><strong>1</strong><strong>8</strong><strong>0</strong><strong> </strong><strong>\</strong><strong>\</strong><strong> </strong><strong>\cos</strong><strong>(</strong><strong>180</strong><strong>)</strong><strong> </strong><strong>=   - 1</strong><strong> </strong><strong>\\  \csc</strong><strong>(</strong><strong>90</strong><strong>)</strong><strong> =  + 1 \\  \sec</strong><strong>(</strong><strong>3</strong><strong>60</strong><strong>)</strong><strong> = + 1  \\  \sin</strong><strong>(</strong><strong>270</strong><strong>)</strong><strong> =   - 1

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