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

The value of sin(arctan(1)) is (sqrt(2))/2

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sin(arctan(1))

sin (arctan (1))

\frac{2}{2}

Decimal Notation

0.70710 \dots

Solution steps

sin (arctan (1))

Rewrite using trig identities:

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

Use the following identity:

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

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

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

Simplify

= \frac{2}{2}

sin (arctan (2))

sin (\frac{2}{3})

csc (2)

cos (5 8^{\circ})

tan (7 2^{\circ})

What is the value of sin(arctan(1)) ?
The value of sin(arctan(1)) is (sqrt(2))/2