What is the value of (1)(1-30/100+1/(2pi)(sin(2pi)(30/100))) ?

The value of (1)(1-30/100+1/(2pi)(sin(2pi)(30/100))) is 7/10

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(1)(1-30/100+1/(2pi)(sin(2pi)(30/100)))

(1) (1 - \frac{30}{100} + \frac{1}{2 π} (sin (2 π) (\frac{30}{100})))

\frac{7}{10}

Solution steps

(1) (1 - \frac{30}{100} + \frac{1}{2 π} (sin (2 π) (\frac{30}{100})))

= 1 \cdot (1 - \frac{30}{100} + \frac{1}{2 π} sin (2 π) \frac{30}{100})

Rewrite using trig identities:

sin (2 π) = 0

= 1 \cdot (1 - \frac{30}{100} + \frac{1}{2 π} \cdot 0 \cdot \frac{30}{100})

Simplify

1 \cdot (1 - \frac{30}{100} + \frac{1}{2 π} \cdot 0 \cdot \frac{30}{100}) : \frac{7}{10}

= \frac{7}{10}

4 sin^{2} (\frac{π}{6}) - 1

2 (cos (\frac{π}{6}) + i sin (\frac{π}{6})) \cdot 5 (cos (\frac{π}{3}) + i sin (\frac{π}{3}))

185 sin (1 5^{\circ})

\frac{1}{sin ( 12 0 ^{\circ} )}

cos (\frac{4 π}{3}) + i \cdot sin (\frac{4 π}{3})

What is the value of (1)(1-30/100+1/(2pi)(sin(2pi)(30/100))) ?
The value of (1)(1-30/100+1/(2pi)(sin(2pi)(30/100))) is 7/10