What is the value of tan(arccos(0.95)) ?

The value of tan(arccos(0.95)) is (sqrt(39))/(19)

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tan(arccos(0.95))

tan (arccos (0.95))

\frac{39}{19}

Decimal Notation

0.32868 \dots

Solution steps

tan (arccos (0.95))

= tan (arccos (\frac{19}{20}))

Rewrite using trig identities:

tan (arccos (\frac{19}{20})) = \frac{1 - ( \frac{19}{20} ) ^{2}}{( \frac{19}{20} )}

Use the following identity:

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

= \frac{1 - ( \frac{19}{20} ) ^{2}}{( \frac{19}{20} )}

= \frac{1 - ( \frac{19}{20} ) ^{2}}{\frac{19}{20}}

Simplify

= \frac{39}{19}

arctan (- \frac{8}{7})

- 2 sin (2 \cdot 0.524) sec (2 \cdot 0.524)

arccsc (\frac{5}{4})

- \frac{\frac{1}{2} cos ( 2 ) - 6}{2 sin ( 2 ) - 1}

tan (53. 1^{\circ})

What is the value of tan(arccos(0.95)) ?
The value of tan(arccos(0.95)) is (sqrt(39))/(19)