What is the value of (1.54)/(9.81*sin(18)) ?

The value of (1.54)/(9.81*sin(18)) is (77sqrt(2)(3+sqrt(5))sqrt(3-\sqrt{5)})/(981)

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(1.54)/(9.81*sin(18))

\frac{1.54}{9.81 \cdot sin ( 1 8 ^{\circ} )}

\frac{77 2 ( 3 + 5 ) 3 - 5}{981}

Solution steps

\frac{1.54}{9.81 sin ( 1 8 ^{\circ} )}

= \frac{\frac{77}{50}}{\frac{981}{100} sin ( 1 8 ^{\circ} )}

Rewrite using trig identities:

sin (1 8^{\circ}) = \frac{2 3 - 5}{4}

= \frac{\frac{77}{50}}{\frac{981}{100} \cdot \frac{2 3 - 5}{4}}

Simplify

\frac{\frac{77}{50}}{\frac{981}{100} \cdot \frac{2 3 - 5}{4}} : \frac{77 2 ( 3 + 5 ) 3 - 5}{981}

= \frac{77 2 ( 3 + 5 ) 3 - 5}{981}

1.6 (sin (1) + cos (1))

\frac{2 \cdot 0.0351}{2.7} \cdot ln (0.84 cos (7.85 \cdot 2.7))

4 cos (π)

arctan (0.853)

cos (4 5^{\circ}) \cdot 20

What is the value of (1.54)/(9.81*sin(18)) ?
The value of (1.54)/(9.81*sin(18)) is (77sqrt(2)(3+sqrt(5))sqrt(3-\sqrt{5)})/(981)