What is the value of ((2.68*9.80665))/(sin(75)) ?

The value of ((2.68*9.80665))/(sin(75)) is (13140911(sqrt(6)-sqrt(2)))/(500000)

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((2.68*9.80665))/(sin(75))

\frac{( 2.68 \cdot 9.80665 )}{sin ( 7 5 ^{\circ} )}

\frac{13140911 ( 6 - 2 )}{500000}

Solution steps

\frac{( 2.68 \cdot 9.80665 )}{sin ( 7 5 ^{\circ} )}

= \frac{\frac{67}{25} \cdot \frac{196133}{20000}}{sin ( 7 5 ^{\circ} )}

Rewrite using trig identities:

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

= \frac{\frac{67}{25} \cdot \frac{196133}{20000}}{\frac{6 + 2}{4}}

Simplify

\frac{\frac{67}{25} \cdot \frac{196133}{20000}}{\frac{6 + 2}{4}} : \frac{13140911 ( 6 - 2 )}{500000}

= \frac{13140911 ( 6 - 2 )}{500000}

\frac{22.4}{sin ( 7 1 ^{\circ} )}

900 sin (4 5^{\circ})

cos (0) sec (0)

2 - 2 cosh (1 - 2)

- 6 sin (108.4 3^{\circ}) + cos (108.4 3^{\circ})

What is the value of ((2.68*9.80665))/(sin(75)) ?
The value of ((2.68*9.80665))/(sin(75)) is (13140911(sqrt(6)-sqrt(2)))/(500000)