What is the value of sec(((5pi))/3) ?

The value of sec(((5pi))/3) is 2

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Find the Exact Value sec((5pi)/3)

sec (\frac{( 5 π )}{3})

2

Solution steps

sec (\frac{( 5 π )}{3})

= sec (\frac{5 π}{3})

Rewrite using trig identities:

\frac{1}{cos ( \frac{5 π}{3} )}

= \frac{1}{cos ( \frac{5 π}{3} )}

Rewrite using trig identities:

cos (\frac{5 π}{3}) = \frac{1}{2}

= \frac{1}{\frac{1}{2}}

Simplify

= 2

sin (x) = \frac{18.5}{20}

sec (\frac{( 2 π )}{3})

sin (\frac{135}{2})

cos (\frac{( 5 π )}{6})

cos (θ) = \frac{4}{5}, 27 0^{\circ} < θ < 36 0^{\circ}