Question

Hasil dari sin²60 derajat.tan²45 derajat - cos60 derajat.tan 30 derajat

Answer 1

Verified answer

→ tan² 45 = 1
→ sin 60 = √3 /2
→ cos 60 = 1 /2
→ tan 30 = √3 /3

sin² 60 . tan² 45 - cos 60 . tan 30
= sin² 60 - cos 60 . tan 30
= (√3/2)² - (1/2) . (√3/3)
= 3/4 - √3/6
= 9/12 - 2√3/12
= (9 - 2√3)/12