What is the value of csc(45)tan(60) ?

The value of csc(45)tan(60) is square root of 6

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csc(45)tan(60)

csc (4 5^{\circ}) tan (6 0^{\circ})

6

Decimal Notation

2.44948 \dots

Solution steps

csc (4 5^{\circ}) tan (6 0^{\circ})

Use the following trivial identity:

csc (4 5^{\circ}) = 2

csc (4 5^{\circ})

csc (x)

periodicity table with

36 0^{\circ} n

cycle:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} csc (x) Undefiend 22 \frac{2 3}{3} 1 \frac{2 3}{3} 22 x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} csc (x) Undefiend - 2 - 2 - \frac{2 3}{3} - 1 - \frac{2 3}{3} - 2 - 2

= 2

Use the following trivial identity:

tan (6 0^{\circ}) = 3

tan (6 0^{\circ})

tan (x)

periodicity table with

18 0^{\circ} n

cycle:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

= 3

= 23

Simplify

23 : 6

23

Apply radical rule:

a b = a \cdot b

23 = 2 \cdot 3

= 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 6

= 6

\frac{10}{tan ( 5 8 ^{\circ} )}

\frac{tan ( 18 2 ^{\circ} ) - tan ( 15 2 ^{\circ} )}{1 + tan ( 18 2 ^{\circ} ) tan ( 15 2 ^{\circ} )}

4 + cos (π)

cos (\frac{5 π}{10})

tan^{2} (- 1)

What is the value of csc(45)tan(60) ?
The value of csc(45)tan(60) is square root of 6