What is the value of tan(arccos(0.8)) ?

The value of tan(arccos(0.8)) is 3/4

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tan(arccos(0.8))

tan (arccos (0.8))

\frac{3}{4}

Decimal Notation

0.75

Solution steps

tan (arccos (0.8))

= tan (arccos (\frac{4}{5}))

Rewrite using trig identities:

tan (arccos (\frac{4}{5})) = \frac{1 - ( \frac{4}{5} ) ^{2}}{( \frac{4}{5} )}

Use the following identity:

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

= \frac{1 - ( \frac{4}{5} ) ^{2}}{( \frac{4}{5} )}

= \frac{1 - ( \frac{4}{5} ) ^{2}}{\frac{4}{5}}

Simplify

= \frac{3}{4}

75 \cdot cos (3 0^{\circ})

\frac{cos ( 6 0 ^{\circ} ) + sin ( 3 0 ^{\circ} )}{4}

\frac{100}{tan ( 4 0 ^{\circ} )}

sin (6 0^{\circ}) cos (6 0^{\circ}) tan (6 0^{\circ}) cot (6 0^{\circ}) sec (6 0^{\circ}) csc (6 0^{\circ})

arcsin (\frac{sin ( 35. 5 ^{\circ} )}{1.333})