What is the value of csc(arccos(-4/7)) ?

The value of csc(arccos(-4/7)) is (7sqrt(33))/(33)

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csc(arccos(-4/7))

csc (arccos (- \frac{4}{7}))

\frac{7 33}{33}

Decimal Notation

1.21854 \dots

Solution steps

csc (arccos (- \frac{4}{7}))

Rewrite using trig identities:

csc (arccos (- \frac{4}{7})) = \frac{1}{1 - ( - \frac{4}{7} ) ^{2}}

Use the following identity:

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

= \frac{1}{1 - ( - \frac{4}{7} ) ^{2}}

= \frac{1}{1 - ( - \frac{4}{7} ) ^{2}}

Simplify

= \frac{7 33}{33}

arcsin (\frac{39}{62})

tan (\frac{5}{5 3})

arctan (32)

cot^{2} (1)

2 (cos (3 0^{\circ}))

What is the value of csc(arccos(-4/7)) ?
The value of csc(arccos(-4/7)) is (7sqrt(33))/(33)