SIN 70 *1/1.5

asked by guest
on Nov 16, 2024 at 7:32 am



You asked:

Evaluate the expression: \(\frac{\sin\left( 70 \right) \cdot 1}{1.5}\)

MathBot Answer:

\[\frac{\sin\left( 70 \right) \cdot 1}{1.5} = \frac{2 \sin{\left(70 \right)}}{3} \approx 0.51592712103859273185822041676133\]

\[\begin{aligned}\frac{\sin\left( 70 \right) \cdot 1}{1.5}& = \sin{\left(70 \right)} \cdot 1 \cdot \frac{1}{1 + \frac{5}{10}}\\& = \sin{\left(70 \right)} \cdot 1 \cdot \frac{1}{1 + \frac{1}{2}}\\& = \sin{\left(70 \right)} \cdot 1 \cdot \frac{1}{\frac{3}{2}}\\& = \sin{\left(70 \right)} \cdot \frac{2}{3}\\& = \frac{2}{3} \cdot \sin{\left(70 \right)}\end{aligned}\]

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