What is the value of csc(arccos(-1/2)) ?

The value of csc(arccos(-1/2)) is (2sqrt(3))/3

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csc(arccos(-1/2))

csc (arccos (- \frac{1}{2}))

\frac{2 3}{3}

Decimal Notation

1.15470 \dots

Solution steps

csc (arccos (- \frac{1}{2}))

Rewrite using trig identities:

csc (arccos (- \frac{1}{2})) = \frac{1}{1 - ( - \frac{1}{2} ) ^{2}}

Use the following identity:

csc (arccos (x)) = \frac{1}{1 - x ^{2}}

= \frac{1}{1 - ( - \frac{1}{2} ) ^{2}}

= \frac{1}{1 - ( - \frac{1}{2} ) ^{2}}

Simplify

= \frac{2 3}{3}

sec (45 0^{\circ})

arccos (- 0.58)

arccos (- 0.41)

\frac{sin ( 0 )}{1}

arccos (- 0.31)

What is the value of csc(arccos(-1/2)) ?
The value of csc(arccos(-1/2)) is (2sqrt(3))/3