Soal UNBK 2018 MTK IPA - no 5

Soal UNBK 2018 MTK IPA
Soal dan Pembahasan UNBK Matematika 2018
Jawaban UNBK Matematika 2018
Soal Matematika SMA 2018
Soal Ujian Akhir Matematika SMA 2018

5. Diketahui segitiga ABC siku-siku di B, cos A = 5/13, nilai (sin A + sin C) + (cos C - cos A) adalah ...

A. 24/13
B. 22/13
C. 1
D. 12/13
E. 5/13

Jawaban : A

x²= 13²-5²
x = √169 - 25
x = √144
x = 12

cos A = 5/13
sin A = 12/13
sin C = 5/13
cos C = 12/13

(sin A + sin C) + (cos C - cos A)
= (12/13 + 5/13) + (12/13 - 5/13)
= 17/13 + 7/13
= 24/13

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