What is the value of sec(arccot((2sqrt(21))/(21))) ?

The value of sec(arccot((2sqrt(21))/(21))) is 5/2

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sec(arccot((2sqrt(21))/(21)))

sec (arccot (\frac{2 21}{21}))

\frac{5}{2}

Decimal Notation

2.5

Solution steps

sec (arccot (\frac{2 21}{21}))

Rewrite using trig identities:

sec (arccot (\frac{2 21}{21})) = \frac{1 + ( \frac{2 21}{21} ) ^{2}}{( \frac{2 21}{21} )}

Use the following identity:

sec (arccot (x)) = \frac{1 + x ^{2}}{x}

= \frac{1 + ( \frac{2 21}{21} ) ^{2}}{( \frac{2 21}{21} )}

= \frac{1 + ( \frac{2 21}{21} ) ^{2}}{\frac{2 21}{21}}

Simplify

= \frac{5}{2}

- arcsin (- 1)

arctan (- \frac{3}{8})

sin (arcsin (\frac{7}{25}) + arccos (- \frac{5}{13}))

\frac{12 sin ( 2 8 ^{\circ} )}{sin ( 10 4 ^{\circ} )}

2 \cdot tan (3 0^{\circ})

What is the value of sec(arccot((2sqrt(21))/(21))) ?
The value of sec(arccot((2sqrt(21))/(21))) is 5/2