Solve -3/2-2sin2=3(0+2)

$$- \frac { 3 } { 2 } - 2 \sin 2 = 3 ( 0 + 2 )$$

Verify

Solution Steps

Evaluate trigonometric functions in the problem

$$-\frac{3}{2} - 2 \cdot 0.03489949670250097 = 3 {(0 + 2)}$$

Multiply 2 and 0.03489949670250097 to get 0.06979899340500194.

$$-\frac{3}{2}-0.06979899340500194=3\left(0+2\right)$$

Convert decimal number 0.06979899340500194 to fraction \frac{3489949670250097}{10000000000}. Reduce the fraction \frac{3489949670250097}{10000000000} to lowest terms by extracting and canceling out 1.

$$-\frac{3}{2}-\frac{3489949670250097}{50000000000000000}=3\left(0+2\right)$$

Least common multiple of 2 and 50000000000000000 is 50000000000000000. Convert -\frac{3}{2} and \frac{3489949670250097}{50000000000000000} to fractions with denominator 50000000000000000.

$$-\frac{75000000000000000}{50000000000000000}-\frac{3489949670250097}{50000000000000000}=3\left(0+2\right)$$

Since -\frac{75000000000000000}{50000000000000000} and \frac{3489949670250097}{50000000000000000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-75000000000000000-3489949670250097}{50000000000000000}=3\left(0+2\right)$$

Subtract 3489949670250097 from -75000000000000000 to get -78489949670250097.

$$-\frac{78489949670250097}{50000000000000000}=3\left(0+2\right)$$

Add 0 and 2 to get 2.

$$-\frac{78489949670250097}{50000000000000000}=3\times 2$$

Multiply 3 and 2 to get 6.

$$-\frac{78489949670250097}{50000000000000000}=6$$

Convert 6 to fraction \frac{300000000000000000}{50000000000000000}.

$$-\frac{78489949670250097}{50000000000000000}=\frac{300000000000000000}{50000000000000000}$$

Compare -\frac{78489949670250097}{50000000000000000} and \frac{300000000000000000}{50000000000000000}.

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