What is the value of csc(arctan(1)) ?

The value of csc(arctan(1)) is square root of 2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

csc(arctan(1))

csc (arctan (1))

2

Decimal Notation

1.41421 \dots

Solution steps

csc (arctan (1))

Rewrite using trig identities:

csc (arctan (1)) = \frac{1 + 1 ^{2}}{1}

Use the following identity:

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

= \frac{1 + 1 ^{2}}{1}

= \frac{1 + 1 ^{2}}{1}

Simplify

= 2

csc (- \frac{7 π}{6})

2 sin (3 0^{\circ}) + tan (4 5^{\circ})

sin (\frac{17 π}{4})

arcsin (sin (\frac{15 π}{6}))

sin^{2} (\frac{2 π}{3})

What is the value of csc(arctan(1)) ?
The value of csc(arctan(1)) is square root of 2