dik cos a = 1/3, sin b =-1/5 akar 5, brapa nilai tan (a-b)? Mohon Bantuannya Kawan2
Matematika
jamesErlando07
Pertanyaan
dik cos a = 1/3, sin b =-1/5 akar 5, brapa nilai tan (a-b)?
Mohon Bantuannya Kawan2
Mohon Bantuannya Kawan2
1 Jawaban
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1. Jawaban ahreumlim
cos a = 1/3
============
maka
√(3²-1²)
=√8 = 2√2
=============
sin a = 2√2 / 3
tan a = 1/2√2
tan a = √2/4
_______________________________
sin b = -√5/5
=============
maka
√(5²-5) = √20 = 2√5
==================
cos b = -2√5 / 5
tan b = 2
____________________________
tan(a-b)
= (tan a - tan b) / (1 + tan a . tan b)
= (√2 /4 - 2) / (1 + 2√2 / 4)
= (√2 - 4) / (4 + 2√2)