Question

diketahui tan p° = 1. tentukan 1/cos p°​

Answer 1

Trigonometri

tan p = 1

p = 45° atau p = 225°

1/cos p

= 1/cos 45°

= 1/(1/√2)

= √2

atau

1/cos p

= 1/cos 225°

= 1/(-1/√2)

= - √2

Answer 2

Verified answer

Jawaban:

[tex] \sqrt{2} \\ dan \\ -\sqrt{2} [/tex]

Penjelasan dengan langkah-langkah:

[tex] \tan(p°) = 1 \\ arc \tan(1) = p° \\ p° = 45 = 225°[/tex]

Karena p° = 45°, Maka:

[tex] = \frac{1}{cos(p°)} \\ = \frac{1}{ \cos(45°) } = \frac{1}{ \frac{1 \sqrt{2} }{2} } = \frac{2}{ \sqrt{2} } = \frac{2}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \sqrt{2}[/tex]

Dan [tex] = \frac{1}{ \cos(225°)} = - \sqrt{2}[/tex]

Atau 1/cos p° = sec p°

[tex] = \sec(p°) \\ = \sec(45°) = \sqrt{2}\\ dan\\ = \sec(p°) \\ = \sec(225°) = - \sqrt{2} [/tex]