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Popular >

sqrt(2/(pi0.7)tan((pi0.7)/2))

Solution

\frac{2}{π \cdot 0.7} tan (\frac{π \cdot 0.7}{2})

Solution

+1

Solution steps

\frac{2}{π 0.7} tan (\frac{π 0.7}{2})

= \frac{2}{π \frac{7}{10}} tan (\frac{π \frac{7}{10}}{2})

Simplify:

\frac{π \frac{7}{10}}{2} = \frac{7 π}{20}

\frac{2}{π \frac{7}{10}} tan (\frac{7 π}{20}) = \frac{2 35 π tan ( \frac{7 π}{20} )}{7 π}

= \frac{2 35 π tan ( \frac{7 π}{20} )}{7 π}

Rewrite using trig identities:

tan (\frac{7 π}{20}) = 32 5 - 5 - 10 5 - 5 + 11 - 45

= \frac{2 35 π 3 2 5 - 5 - 10 5 - 5 + 11 - 4 5}{7 π}

Simplify

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