Question

(cos 45)/ (sec 30 derajat + cosec 30 derajat)

Answer 1

(cos 45°)/ (sec 30° + cosec 30°)
= (1/2 √2)/(1/(1/2√3) + 1/(1/2))
= (1/2√2)/(2/3√3 + 2)
= (1/2√2)/(2/3√3 + 2) × (2/3√3 - 2)/(2/3√3 - 2)
= (1/2√2)(2/3√3 - 2)/(4/3 - 4)
= (1/3√6 - √2)/(-8/3)
= 3(1/3√6 - √2)/(-8)
= (√6 - 3√2)/(-8)
= (3√2-√6)/8