What is the value of (3/2)((9.8)/(0.4))(1-sin(60)+cos(60)) ?

The value of (3/2)((9.8)/(0.4))(1-sin(60)+cos(60)) is (147(3-sqrt(3)))/8

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(3/2)((9.8)/(0.4))(1-sin(60)+cos(60))

(\frac{3}{2}) (\frac{9.8}{0.4}) (1 - sin (6 0^{\circ}) + cos (6 0^{\circ}))

\frac{147 ( 3 - 3 )}{8}

Solution steps

(\frac{3}{2}) (\frac{9.8}{0.4}) (1 - sin (6 0^{\circ}) + cos (6 0^{\circ}))

= \frac{3}{2} \cdot \frac{\frac{49}{5}}{\frac{2}{5}} (1 - sin (6 0^{\circ}) + cos (6 0^{\circ}))

Use the following trivial identity:

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

Use the following trivial identity:

cos (6 0^{\circ}) = \frac{1}{2}

= \frac{3}{2} \cdot \frac{\frac{49}{5}}{\frac{2}{5}} (1 - \frac{3}{2} + \frac{1}{2})

Simplify

\frac{3}{2} \cdot \frac{\frac{49}{5}}{\frac{2}{5}} (1 - \frac{3}{2} + \frac{1}{2}) : \frac{147 ( 3 - 3 )}{8}

= \frac{147 ( 3 - 3 )}{8}

cos (0.68)

cos (15 0^{\circ}) - sin (24 0^{\circ}) + tan (30 0^{\circ})

arctan (\frac{- \frac{3}{2}}{\frac{1}{2}})

arccos (- 0.05)

cos (0.99)

What is the value of (3/2)((9.8)/(0.4))(1-sin(60)+cos(60)) ?
The value of (3/2)((9.8)/(0.4))(1-sin(60)+cos(60)) is (147(3-sqrt(3)))/8