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)

$\tan^{2} (x)$