What is the value of sin(arctan(3)) ?

The value of sin(arctan(3)) is (3sqrt(10))/(10)

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sin(arctan(3))

sin (arctan (3))

\frac{3 10}{10}

Decimal Notation

0.94868 \dots

Solution steps

sin (arctan (3))

Rewrite using trig identities:

sin (arctan (3)) = \frac{3 1 + 3 ^{2}}{1 + 3 ^{2}}

Use the following identity:

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

= \frac{3 1 + 3 ^{2}}{1 + 3 ^{2}}

= \frac{3 1 + 3 ^{2}}{1 + 3 ^{2}}

Simplify

= \frac{3 10}{10}

cos (11 0^{\circ}) cos (2 0^{\circ}) - sin (11 0^{\circ}) sin (2 0^{\circ})

sec (40 5^{\circ})

\frac{8.8}{sin ( 3 3 ^{\circ} )}

cos (arctan (- 3))

0 - sin (0)

What is the value of sin(arctan(3)) ?
The value of sin(arctan(3)) is (3sqrt(10))/(10)