What is expand sec(pi/3-pi/4) ?

The solution to expand sec(pi/3-pi/4) is sqrt(6)-sqrt(2)

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expand sec(pi/3-pi/4)

expand

sec (\frac{π}{3} - \frac{π}{4})

6 - 2

Decimal Notation

1.03527 \dots

Solution steps

sec (\frac{π}{3} - \frac{π}{4})

Join

\frac{π}{3} - \frac{π}{4} : \frac{π}{12}

= sec (\frac{π}{12})

Rewrite using trig identities:

\frac{1}{cos ( \frac{π}{12} )}

= \frac{1}{cos ( \frac{π}{12} )}

Rewrite using trig identities:

cos (\frac{π}{12}) = \frac{6 + 2}{4}

= \frac{1}{\frac{6 + 2}{4}}

Simplify

\frac{1}{\frac{6 + 2}{4}} : 6 - 2

= 6 - 2

\frac{x}{y ^{- 1}} (\frac{x}{y} - \frac{3 x ^{2}}{x y})

(x) (x - 5)^{2}

5 (7 - 8)

\frac{1}{2} (e^{y} - e^{- y}) sin (x)

- 2 sin (x) (1 + cos (x))

What is expand sec(pi/3-pi/4) ?
The solution to expand sec(pi/3-pi/4) is sqrt(6)-sqrt(2)