What is the value of (10)/(cos(15)) ?

The value of (10)/(cos(15)) is 10(sqrt(6)-sqrt(2))

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(10)/(cos(15))

\frac{10}{cos ( 1 5 ^{\circ} )}

10 (6 - 2)

Solution steps

\frac{10}{cos ( 1 5 ^{\circ} )}

Rewrite using trig identities:

cos (1 5^{\circ}) = \frac{6 + 2}{4}

= \frac{10}{\frac{6 + 2}{4}}

Simplify

\frac{10}{\frac{6 + 2}{4}} : 10 (6 - 2)

= 10 (6 - 2)

sec (\frac{π}{6}) + tan (\frac{π}{6})

sin (6 0^{\circ}) + cos (4 5^{\circ})

sin (arctan (\frac{12}{5}) + arccos (\frac{12}{13}))

arcsin (0.4848)

- \frac{3}{8} cos (2) - \frac{3}{4} sin^{2} (1) + sin^{4} (1) + \frac{3}{8}

What is the value of (10)/(cos(15)) ?
The value of (10)/(cos(15)) is 10(sqrt(6)-sqrt(2))