What is the value of (100)/(sin(75)) ?

The value of (100)/(sin(75)) is 100(sqrt(6)-sqrt(2))

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(100)/(sin(75))

\frac{100}{sin ( 7 5 ^{\circ} )}

100 (6 - 2)

Solution steps

\frac{100}{sin ( 7 5 ^{\circ} )}

Rewrite using trig identities:

sin (7 5^{\circ}) = \frac{6 + 2}{4}

= \frac{100}{\frac{6 + 2}{4}}

Simplify

\frac{100}{\frac{6 + 2}{4}} : 100 (6 - 2)

= 100 (6 - 2)

sin (arcsin (0.4))

arctan (- 1) + 2 π

\frac{( 4.33 ) ^{2} sin ^{2} ( 2 5 ^{\circ} )}{2 ( 9.8 )}

sin (1) + sin (2)

cos (4 0^{\circ}) cos (5 0^{\circ}) - sin (4 0^{\circ}) sin (5 0^{\circ})

What is the value of (100)/(sin(75)) ?
The value of (100)/(sin(75)) is 100(sqrt(6)-sqrt(2))