What is the value of 2sec(pi/4)+4cot(pi/3) ?

The value of 2sec(pi/4)+4cot(pi/3) is 2sqrt(2)+(4sqrt(3))/3

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2sec(pi/4)+4cot(pi/3)

2 sec (\frac{π}{4}) + 4 cot (\frac{π}{3})

22 + \frac{4 3}{3}

Solution steps

2 sec (\frac{π}{4}) + 4 cot (\frac{π}{3})

Use the following trivial identity:

sec (\frac{π}{4}) = 2

Use the following trivial identity:

cot (\frac{π}{3}) = \frac{3}{3}

= 22 + 4 \cdot \frac{3}{3}

Simplify

22 + 4 \cdot \frac{3}{3} : 22 + \frac{4 3}{3}

= 22 + \frac{4 3}{3}

arccsc (- 9)

300 sin (4 5^{\circ})

sin (4 \cdot \frac{π}{3})

cosh (i \frac{π}{4})

sin (2 0^{\circ}) \cdot 2

What is the value of 2sec(pi/4)+4cot(pi/3) ?
The value of 2sec(pi/4)+4cot(pi/3) is 2sqrt(2)+(4sqrt(3))/3