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

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

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4+cot(pi/3)-2csc(pi/3)

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

4 - 3

Solution steps

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

Use the following trivial identity:

cot (\frac{π}{3}) = \frac{3}{3}

Use the following trivial identity:

csc (\frac{π}{3}) = \frac{2 3}{3}

= 4 + \frac{3}{3} - 2 \cdot \frac{2 3}{3}

Simplify

4 + \frac{3}{3} - 2 \cdot \frac{2 3}{3} : 4 - 3

= 4 - 3

arctan (0.86)

- π^{2} cos (π (2))

- 2 (- 2 sec^{2} (0) + 3 sec^{4} (0))

2 sec (3 0^{\circ})

sin (\frac{60}{2})

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