TANGENS (A + B) TRIGONOMETRI MATEMATIKA SMA KELAS 11

Oleh : Suryadi
Director of Education Apenso Indonesia

SOAL :
Hitunglah tan 75° !

JAWAB  :
tan 75°

= tan (45° + 30°)
= (tan 45° + tan 30°) / (1 – tan 45° . tan 30°)
= (1 + 1/3 . √3) / (1 – 1 x 1/3 . √3) 

= (1 + 1/3 . √3 ) / (1 – 1 x 1/3 . √3)  x (1 + 1/3 . √3) / (1 + 1/3 . √3) 
= (1 + 1/3 . √3)^2 / {1^2 – (1/3 . √3)^2}
= (1+ 2/3 x √3 + 1/3) / (1 – 1/3)
= ( 1 1/3 + 2/3 √3)/ ( 2 / 3 )
= 2 + √3

🌸Selamat Belajar & Good Luck!🌸