What is the value of sec(arcsin(12/13)) ?

The value of sec(arcsin(12/13)) is 13/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sec(arcsin(12/13))

sec (arcsin (\frac{12}{13}))

\frac{13}{5}

Decimal Notation

2.6

Solution steps

sec (arcsin (\frac{12}{13}))

Rewrite using trig identities:

sec (arcsin (\frac{12}{13})) = \frac{1 - ( \frac{12}{13} ) ^{2}}{1 - ( \frac{12}{13} ) ^{2}}

Use the following identity:

sec (arcsin (x)) = \frac{1 - x ^{2}}{1 - x ^{2}}

= \frac{1 - ( \frac{12}{13} ) ^{2}}{1 - ( \frac{12}{13} ) ^{2}}

= \frac{1 - ( \frac{12}{13} ) ^{2}}{1 - ( \frac{12}{13} ) ^{2}}

Simplify

= \frac{13}{5}

1 + sin (\frac{π}{4})

2 (cos (3 0^{\circ}) + i sin (3 0^{\circ}))

tan (arcsin (\frac{7}{10}))

\frac{5}{cos ( 7 2 ^{\circ} )}

sin (- 6)

What is the value of sec(arcsin(12/13)) ?
The value of sec(arcsin(12/13)) is 13/5