What is the value of 2cot(pi/2)csc(pi/2)-csc^2(pi/2) ?

The value of 2cot(pi/2)csc(pi/2)-csc^2(pi/2) is -1

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2cot(pi/2)csc(pi/2)-csc^2(pi/2)

2 cot (\frac{π}{2}) csc (\frac{π}{2}) - csc^{2} (\frac{π}{2})

- 1

Solution steps

2 cot (\frac{π}{2}) csc (\frac{π}{2}) - csc^{2} (\frac{π}{2})

Use the following trivial identity:

cot (\frac{π}{2}) = 0

Use the following trivial identity:

csc (\frac{π}{2}) = 1

= 2 \cdot 0 \cdot 1 - 1^{2}

Simplify

= - 1

arccos (\frac{37}{40})

cos (arcsin (\frac{5}{13}) - arctan (\frac{3}{4}))

4 sin (22 5^{\circ})

cos (\frac{7 π}{4} - \frac{5 π}{6})

\frac{4}{cos ( 2 1 ^{\circ} )}

What is the value of 2cot(pi/2)csc(pi/2)-csc^2(pi/2) ?
The value of 2cot(pi/2)csc(pi/2)-csc^2(pi/2) is -1