What is the value of tan(arccos(0.7)) ?

The value of tan(arccos(0.7)) is (sqrt(51))/7

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tan(arccos(0.7))

tan (arccos (0.7))

\frac{51}{7}

Decimal Notation

1.02020 \dots

Solution steps

tan (arccos (0.7))

= tan (arccos (\frac{7}{10}))

Rewrite using trig identities:

tan (arccos (\frac{7}{10})) = \frac{1 - ( \frac{7}{10} ) ^{2}}{( \frac{7}{10} )}

Use the following identity:

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

= \frac{1 - ( \frac{7}{10} ) ^{2}}{( \frac{7}{10} )}

= \frac{1 - ( \frac{7}{10} ) ^{2}}{\frac{7}{10}}

Simplify

= \frac{51}{7}

arctan (\frac{6.6}{10})

35 cos (6 0^{\circ})

tan (\frac{19 π}{2})

cos (6 0^{\circ}) cos (3 0^{\circ}) - sin (6 0^{\circ}) sin (3 0^{\circ})

cos^{2} (157. 5^{\circ}) - sin^{2} (157. 5^{\circ})

What is the value of tan(arccos(0.7)) ?
The value of tan(arccos(0.7)) is (sqrt(51))/7