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No necesitas calculadora...
sec x = √2
Uno sabe que sec x es 1/cos x :
1/cos x = √2
eso es lo mismo que:
cos x = 1/√2
Entonces
x = cos⁻¹(1/√2) [ Vas a la calculadora y pones shift + cos + 1/√2]
y te va a dar x = 45° .
Salu2.