Question

Cos 45° per sec 30° +csc 30° ???

Answer 1

Verified answer

Kelas 10 Matematika
Bab Trigonometri

cos 45° / (sec 30° + cosec 30°)
= (1/2 √2) / (2/3 √3 + 2)
= (1/2 √2) / (2 + 6)/3
= (3√2)/(4 + √6) . (4 - √6)/(4 - √6)
= (12√2 - 3√12)/(4² - √6²)
= (12√2 - 3 . 2√3)/(16 - 6)
= (12√2 - 6√3)/10
= (6√2 - 3√2)/5