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Popular >

csc(750)

Solution

csc (75 0^{\circ})

Solution

2

Solution steps

csc (75 0^{\circ})

csc (75 0^{\circ}) = csc (3 0^{\circ})

csc (75 0^{\circ})

Rewrite

75 0^{\circ}

as

36 0^{\circ} \cdot 2 + 3 0^{\circ}

= csc (36 0^{\circ} 2 + 3 0^{\circ})

Apply the periodicity of

csc

:

csc (x + 36 0^{\circ} \cdot k) = csc (x)

csc (36 0^{\circ} \cdot 2 + 3 0^{\circ}) = csc (3 0^{\circ})

= csc (3 0^{\circ})

= csc (3 0^{\circ})

Use the following trivial identity:

csc (3 0^{\circ}) = 2

csc (3 0^{\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

= 2

Popular Examples

cos (111 0^{\circ})

sin(2arctan(4))

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sec (- \frac{7 π}{2})

\frac{10}{sin ( 4 5 ^{\circ} )}

9 sin (7 5^{\circ})

Frequently Asked Questions (FAQ)

What is the value of csc(750) ?
The value of csc(750) is 2