What is the value of ((6)^2sin^2(30))/(9.8) ?

The value of ((6)^2sin^2(30))/(9.8) is 45/49

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((6)^2sin^2(30))/(9.8)

\frac{( 6 ) ^{2} sin ^{2} ( 3 0 ^{\circ} )}{9.8}

\frac{45}{49}

Solution steps

\frac{( 6 ) ^{2} sin ^{2} ( 3 0 ^{\circ} )}{9.8}

= \frac{6 ^{2} sin ^{2} ( 3 0 ^{\circ} )}{\frac{49}{5}}

Use the following trivial identity:

sin (3 0^{\circ}) = \frac{1}{2}

= \frac{6 ^{2} ( \frac{1}{2} ) ^{2}}{\frac{49}{5}}

Simplify

\frac{6 ^{2} ( \frac{1}{2} ) ^{2}}{\frac{49}{5}} : \frac{45}{49}

= \frac{45}{49}

arctan (\frac{4}{6})

arcsin (- \frac{6}{7})

2 arcsin (1.5 \cdot sin (0.14))

\frac{sin ( 3 0 ^{\circ} ) + csc ( 3 0 ^{\circ} )}{sin ^{2} ( 3 0 ^{\circ} ) + cos ^{2} ( 6 0 ^{\circ} )}

\frac{cos ( 1 2 ^{\circ} )}{1.17}

What is the value of ((6)^2sin^2(30))/(9.8) ?
The value of ((6)^2sin^2(30))/(9.8) is 45/49