Hola
Resultado notables
cos(60°) = sen(30°) = 1/2
sen(45°) = cos(45°) = 1 / √2
ó
sen(45°) = cos(45°) = √2 / 2
Deducimos
sec(45°) = 1/cos(45°) = 1/(1/√2) = √2
Nos queda
= (√2 + (1/2) ) (√2/2 + (1/2))
= (√2√2 / 2 + (1/2) √2 + (1/2) √2/2 + 1/4
= 2 + (1/2) √2 + (1/4) √2 + 1/4
= 9/4 + (3/4) √2
= (3/4) ( 3 + √2)
============
Saludos
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Verified answer
Hola
Resultado notables
cos(60°) = sen(30°) = 1/2
sen(45°) = cos(45°) = 1 / √2
ó
sen(45°) = cos(45°) = √2 / 2
Deducimos
sec(45°) = 1/cos(45°) = 1/(1/√2) = √2
Nos queda
= (√2 + (1/2) ) (√2/2 + (1/2))
= (√2√2 / 2 + (1/2) √2 + (1/2) √2/2 + 1/4
= 2 + (1/2) √2 + (1/4) √2 + 1/4
= 9/4 + (3/4) √2
= (3/4) ( 3 + √2)
============
Saludos