[tex]T = sen \: \frac{\pi}{6} \times sec \: \frac{\pi}{4} \\ T = sen \: 30° \times sec \: 45° \\ T = \frac{1}{2} \times \sqrt{2} \\ \boxed{T = \frac{ \sqrt{2} }{2} } [/tex]
[tex]M = \frac{sec16° \times tan82° \times tan74°}{sen45° \times cos60°} \\ M = \frac{ \frac{25}{24} \times 7 \times \frac{24}{7} }{ \frac{1}{ \sqrt{2} } \times \frac{1}{2} } \\ M = \frac{25}{ \frac{ \sqrt{2} }{4} } \\ \boxed{M = 50 \sqrt{2} }[/tex]
[tex]x \times sen74° = sen53° \\ x \times \frac{24}{25} = \frac{4}{5} \\ x \times 24 = \frac{4}{5} \times 25 \\ x \times 24 = 20 \\ x = \frac{20}{24} \\ \boxed{x = \frac{5}{6} }[/tex]
[tex]sec \: 60° + tg \: 8° = x \times sen37° \\ 2 + \frac{1}{7} = x \times \frac{3}{5} \\ \frac{15}{7} = x \times \frac{3}{5} \\ \frac{15}{7} \times 5 = x \times 3 \\ \frac{75}{7} = x \times 3 \\ \frac{ \frac{75}{7} }{3} = x \\ \boxed{ \frac{25}{7} = x }[/tex]
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☆ PROBLEMA 7
[tex]T = sen \: \frac{\pi}{6} \times sec \: \frac{\pi}{4} \\ T = sen \: 30° \times sec \: 45° \\ T = \frac{1}{2} \times \sqrt{2} \\ \boxed{T = \frac{ \sqrt{2} }{2} } [/tex]
∴ RESPUESTA:
[tex] \boxed{a) \: \frac{ \sqrt{2} }{2} }[/tex]
☆ PREGUNTA 9
[tex]M = \frac{sec16° \times tan82° \times tan74°}{sen45° \times cos60°} \\ M = \frac{ \frac{25}{24} \times 7 \times \frac{24}{7} }{ \frac{1}{ \sqrt{2} } \times \frac{1}{2} } \\ M = \frac{25}{ \frac{ \sqrt{2} }{4} } \\ \boxed{M = 50 \sqrt{2} }[/tex]
∴ RESPUESTA:
[tex] \boxed{a) \: 50 \sqrt{2} }[/tex]
☆ PROBLEMA 13
[tex]x \times sen74° = sen53° \\ x \times \frac{24}{25} = \frac{4}{5} \\ x \times 24 = \frac{4}{5} \times 25 \\ x \times 24 = 20 \\ x = \frac{20}{24} \\ \boxed{x = \frac{5}{6} }[/tex]
∴ RESPUESTA:
[tex] \boxed{d) \: N.A}[/tex]
☆ PROBLEMA 14
[tex]sec \: 60° + tg \: 8° = x \times sen37° \\ 2 + \frac{1}{7} = x \times \frac{3}{5} \\ \frac{15}{7} = x \times \frac{3}{5} \\ \frac{15}{7} \times 5 = x \times 3 \\ \frac{75}{7} = x \times 3 \\ \frac{ \frac{75}{7} }{3} = x \\ \boxed{ \frac{25}{7} = x }[/tex]
∴ RESPUESTA:
[tex] \boxed{d) \: N.A}[/tex]