What is the value of tan(arccos(12/20)) ?

The value of tan(arccos(12/20)) is 4/3

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tan(arccos(12/20))

tan (arccos (\frac{12}{20}))

\frac{4}{3}

Decimal Notation

1.33333 \dots

Solution steps

tan (arccos (\frac{12}{20}))

Rewrite using trig identities:

tan (arccos (\frac{12}{20})) = \frac{1 - ( \frac{12}{20} ) ^{2}}{( \frac{12}{20} )}

Use the following identity:

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

= \frac{1 - ( \frac{12}{20} ) ^{2}}{( \frac{12}{20} )}

= \frac{1 - ( \frac{12}{20} ) ^{2}}{\frac{12}{20}}

Simplify

= \frac{4}{3}

sec^{2} (- 0.01)

6 sin (\frac{π}{4}) - cos (\frac{π}{4})

arccos (\frac{6}{145})

arccos (- \frac{2}{2}) + arctan (\frac{3}{3})

What is the value of tan(arccos(12/20)) ?
The value of tan(arccos(12/20)) is 4/3