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

The value of tan(arccos(3/4)) is (sqrt(7))/3

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tan(arccos(3/4))

tan (arccos (\frac{3}{4}))

\frac{7}{3}

Decimal Notation

0.88191 \dots

Solution steps

tan (arccos (\frac{3}{4}))

Rewrite using trig identities:

tan (arccos (\frac{3}{4})) = \frac{1 - ( \frac{3}{4} ) ^{2}}{( \frac{3}{4} )}

Use the following identity:

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

= \frac{1 - ( \frac{3}{4} ) ^{2}}{( \frac{3}{4} )}

= \frac{1 - ( \frac{3}{4} ) ^{2}}{\frac{3}{4}}

Simplify

= \frac{7}{3}

2 cos (\frac{3 π}{4})

arcsinh (0)

arctan (30)

sin^{2} (2 5^{\circ})

arcsin (sin (\frac{3 π}{5}))

What is the value of tan(arccos(3/4)) ?
The value of tan(arccos(3/4)) is (sqrt(7))/3