What is the value of cot^{sin(pi/2)-1}(pi/2) ?

The value of cot^{sin(pi/2)-1}(pi/2) is Undefined

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cot^{sin(pi/2)-1}(pi/2)

cot^{s i n (\frac{π}{2}) - 1} (\frac{π}{2})

Undefined

Solution steps

cot^{s i n (\frac{π}{2}) - 1} (\frac{π}{2})

Use the following trivial identity:

cot (\frac{π}{2}) = 0

cot (\frac{π}{2})

cot (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cot (x) \mp \infty 31 \frac{3}{3} 0 - \frac{3}{3} - 1 - 3

= 0

Use the following trivial identity:

sin (\frac{π}{2}) = 1

sin (\frac{π}{2})

sin (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= 1

= 0^{1 - 1}

= Undefined

4 cos^{2} (2 (1))

sin^{2} (\frac{π - 0.3125}{5})

8 cos (\frac{3 π}{2})

63 cos (\frac{11 π}{6})

\frac{2 \cdot sin ( 9 )}{1}

What is the value of cot^{sin(pi/2)-1}(pi/2) ?
The value of cot^{sin(pi/2)-1}(pi/2) is Undefined