[TRIGONOMETRI]Tolong kerjakan soal nomor 3 dan soal nomor 4 beserta dengan cara pengerjaannya!.... Question from @Ilhamaji9821

November 2019 2 42 Report

[TRIGONOMETRI]

Tolong kerjakan soal nomor 3 dan soal nomor 4 beserta dengan cara pengerjaannya!

Jawab:

Penjelasan dengan langkah-langkah:

$3.\\\\\frac{sinx.cosx}{tanx}=\frac{sinx.cosx}{\frac{sinx}{cosx}}\\\\~~~~~~~~~~~~~=\frac{(sinx.cosx)cosx}{sinx}\\\\~~~~~~~~~~~~~=cos^2x~(C)\\\\\\4.\\\\\frac{2tanx}{1+tan^2x}=\frac{2tanx}{sec^2x}\\\\~~~~~~~~~~~=2tanx.cos^2x\\\\~~~~~~~~~~~=2\frac{sinx}{cosx}.cos^2x\\\\~~~~~~~~~~~=2sinxcosx~~(A)$

1 votes Thanks 5

RynPutrie

Pembahasan

No. 3

$\frac{\sin(x)\times\cos(x)}{\tan(x)}=\frac{\sin(x)\times\cos(x)}{\frac{\sin(x)}{\cos(x)}}\\\\=\sin(x)\times\cos(x)\times\frac{\cos(x)}{\sin(x)}\\\\=\cos(x)\times\cos(x)\\\\={\cos}^{2}(x)$

Jawaban: C

No. 4

$\frac{2\tan(x)}{1+{\tan}^{2}(x)}=\frac{2\tan(x)}{{\sec}^{2}(x)}\\\\=\frac{2\times\frac{\sin(x)}{\cos(x)}}{\frac{1}{{\cos}^{2}(x)}}\\\\=2\times\frac{\sin(x)}{\cos(x)}\times{\cos}^{2}(x)\\\\=2\times\sin(x)\times\cos(x)$

Jawaban: A

________________________

Detail Jawaban

Mapel : Matematika

Kelas : X

Materi : Bab 7 - Trigonometri

Kata Kunci : Identitas Trigonometri

Kode Soal : 2

Kode Kategorisasi : 10.2.7

2 votes Thanks 3

About Us