What is the value of cot(arcsec(7/6)) ?

The value of cot(arcsec(7/6)) is (6sqrt(13))/(13)

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cot(arcsec(7/6))

cot (arcsec (\frac{7}{6}))

\frac{6 13}{13}

Decimal Notation

1.66410 \dots

Solution steps

cot (arcsec (\frac{7}{6}))

Rewrite using trig identities:

cot (arcsec (\frac{7}{6})) = \frac{1}{( \frac{7}{6} ) 1 - \frac{1}{( \frac{7}{6} ) ^{2}}}

Use the following identity:

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

= \frac{1}{( \frac{7}{6} ) 1 - \frac{1}{( \frac{7}{6} ) ^{2}}}

= \frac{1}{\frac{7}{6} 1 - \frac{1}{( \frac{7}{6} ) ^{2}}}

Simplify

= \frac{6 13}{13}

sin (36. 8^{\circ})

sec^{2} (\frac{π}{6}) - 4

sin (2) (\frac{12}{13})

\frac{6 tan ( \frac{4 π}{7} )}{tan ^{2} ( \frac{4 π}{7} ) - 1}

cos (\frac{7 π}{15})

What is the value of cot(arcsec(7/6)) ?
The value of cot(arcsec(7/6)) is (6sqrt(13))/(13)