Question

find the value of sec75°

Answer 1

1.08 something the value of sec 75 degree

Answer 2

$\cos(75) = \cos(45 + 30) \\ = \cos(45) \cos(30) - \sin(45) \sin(30) \\ = \frac{1}{ \sqrt{2} } \times \frac{ \sqrt{3} }{2} - \frac{1}{ \sqrt{2} } \times \frac{1}{2} = \frac{ \sqrt{3} - 1 }{2 \sqrt{2} } \\ therefore \\ \sec(75) = \frac{2 \sqrt{2} }{ \sqrt{3} - 1 }$