What is the value of tan(arcsin(5/13)+arccos(1)) ?

The value of tan(arcsin(5/13)+arccos(1)) is 5/12

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(arcsin(5/13)+arccos(1))

tan (arcsin (\frac{5}{13}) + arccos (1))

\frac{5}{12}

Solution steps

tan (arcsin (\frac{5}{13}) + arccos (1))

Rewrite using trig identities:

\frac{tan ( arcsin ( \frac{5}{13} ) ) + tan ( arccos ( 1 ) )}{1 - tan ( arcsin ( \frac{5}{13} ) ) tan ( arccos ( 1 ) )}

= \frac{tan ( arcsin ( \frac{5}{13} ) ) + tan ( arccos ( 1 ) )}{1 - tan ( arcsin ( \frac{5}{13} ) ) tan ( arccos ( 1 ) )}

Rewrite using trig identities:

tan (arcsin (\frac{5}{13})) = \frac{5}{12}

Rewrite using trig identities:

tan (arccos (1)) = 0

= \frac{\frac{5}{12} + 0}{1 - \frac{5}{12} \cdot 0}

Simplify

= \frac{5}{12}

sec (48 0^{\circ})

arctan (\frac{16}{3})

sin (2 π^{2})

2 tan (1)

arccos (\frac{3}{6})

What is the value of tan(arcsin(5/13)+arccos(1)) ?
The value of tan(arcsin(5/13)+arccos(1)) is 5/12