What is the value of csc(arctan(sqrt(3))) ?

The value of csc(arctan(sqrt(3))) is (2sqrt(3))/3

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csc(arctan(sqrt(3)))

csc (arctan (3))

\frac{2 3}{3}

Decimal Notation

1.15470 \dots

Solution steps

csc (arctan (3))

Rewrite using trig identities:

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

Use the following identity:

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

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

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

Simplify

= \frac{2 3}{3}

cos (\frac{- 7 π}{3})

\frac{4 ( sin ( 4 5 ^{\circ} ) )}{3}

arctan (0.71)

arcsin (cos (\frac{π}{7}))

sec (- 66 0^{\circ})

What is the value of csc(arctan(sqrt(3))) ?
The value of csc(arctan(sqrt(3))) is (2sqrt(3))/3