What is the value of csc(arcsec(25/24)) ?

The value of csc(arcsec(25/24)) is 25/7

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csc(arcsec(25/24))

csc (arcsec (\frac{25}{24}))

\frac{25}{7}

Decimal Notation

3.57142 \dots

Solution steps

csc (arcsec (\frac{25}{24}))

Rewrite using trig identities:

csc (arcsec (\frac{25}{24})) = \frac{1}{1 - \frac{1}{( \frac{25}{24} ) ^{2}}}

Use the following identity:

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

= \frac{1}{1 - \frac{1}{( \frac{25}{24} ) ^{2}}}

= \frac{1}{1 - \frac{1}{( \frac{25}{24} ) ^{2}}}

Simplify

= \frac{25}{7}

6 cos (4 5^{\circ}) + 2 sin (4 5^{\circ}) + 4 tan (4 5^{\circ})

sin^{2} (8 1^{\circ})

- sin (21 0^{\circ})

2 cos (\frac{3 π}{9})

arccos (\frac{7}{65})

What is the value of csc(arcsec(25/24)) ?
The value of csc(arcsec(25/24)) is 25/7