What is the value of csc(495) ?

The value of csc(495) is square root of 2

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csc(495)

csc (49 5^{\circ})

2

Solution steps

csc (49 5^{\circ})

csc (49 5^{\circ}) = csc (13 5^{\circ})

= csc (13 5^{\circ})

Rewrite using trig identities:

\frac{1}{sin ( 13 5 ^{\circ} )}

= \frac{1}{sin ( 13 5 ^{\circ} )}

Use the following trivial identity:

sin (13 5^{\circ}) = \frac{2}{2}

= \frac{1}{\frac{2}{2}}

Simplify

\frac{1}{\frac{2}{2}} : 2

= 2

sec (\frac{9 π}{11})

tan (1 2^{\circ}) - cot (7 8^{\circ})

\frac{200}{cos ( 3 0 ^{\circ} )}

arctan (\frac{2 2}{- 2 2})

\frac{20}{tan ( 3 0 ^{\circ} )}