sederhanakan ( cosec A - cotan A ). ( 1 + cos A )
Matematika
ahmadhdytul
Pertanyaan
sederhanakan ( cosec A - cotan A ). ( 1 + cos A )
1 Jawaban
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1. Jawaban KingOfAmbition
[tex] \frac{1}{sin A} - \frac{1}{tanA} [/tex] x 1+CosA
[tex] \frac{1}{sinA} - \frac{cosA}{sinA} [/tex] x 1+cosA
[tex] \frac{1-cosA}{sinA} [/tex] x 1+cosA
[tex] \frac{(1-cosA)(1+cosA)}{sinA} = \frac{1- cos^{2}A }{sinA} [/tex]
Ingat! cos²A + sin²A = 1
sin²A = 1 - cos²A
[tex] \frac{ sin^{2}A }{sinA} = sin A[/tex]