Trigonometri Contoh

\frac{1 + {tan}^{2} (x)}{{csc}^{2} (x)}

$\frac{1 + \tan^{2} (x)}{\csc^{2} (x)}$

Langkah 1

Susun kembali suku-suku.

\frac{{tan}^{2} (x) + 1}{{csc}^{2} (x)}

$\frac{\tan^{2} (x) + 1}{\csc^{2} (x)}$

Langkah 2

Terapkan identitas pythagoras.

\frac{{sec}^{2} (x)}{{csc}^{2} (x)}

$\frac{\sec^{2} (x)}{\csc^{2} (x)}$

Langkah 3

Tulis kembali

\frac{{sec}^{2} (x)}{{csc}^{2} (x)}

$\frac{\sec^{2} (x)}{\csc^{2} (x)}$ sebagai

{(\frac{sec (x)}{csc (x)})}^{2}

${(\frac{\sec (x)}{\csc (x)})}^{2}$ .

{(\frac{sec (x)}{csc (x)})}^{2}

${(\frac{\sec (x)}{\csc (x)})}^{2}$

Langkah 4

Tulis kembali

csc (x)

$\csc (x)$ dalam bentuk sinus dan kosinus.

{⎛ ⎝ \frac{sec (x)}{\frac{1}{sin (x)}} ⎞ ⎠}^{2}

${(\frac{\sec (x)}{\frac{1}{\sin (x)}})}^{2}$

Langkah 5

Tulis kembali

sec (x)

$\sec (x)$ dalam bentuk sinus dan kosinus.

{⎛ ⎝ \frac{\frac{1}{cos (x)}}{\frac{1}{sin (x)}} ⎞ ⎠}^{2}

${(\frac{\frac{1}{\cos (x)}}{\frac{1}{\sin (x)}})}^{2}$

Langkah 6

Kalikan balikan dari pecahan tersebut untuk membagi dengan

\frac{1}{sin (x)}

$\frac{1}{\sin (x)}$ .

{(\frac{sin (x)}{cos (x)})}^{2}

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

Langkah 7

Konversikan dari

\frac{sin (x)}{cos (x)}

$\frac{\sin (x)}{\cos (x)}$ ke

tan (x)

$\tan (x)$ .

{tan}^{2} (x)

$\tan^{2} (x)$