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

Solution steps

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

Use the following trivial identity:

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

Use the following trivial identity:

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

= 23

Simplify

23 : 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