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

The value of (1)(1-10/100+1/(2pi)(sin(2pi)(10/100))) is 9/10

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(1)(1-10/100+1/(2pi)(sin(2pi)(10/100)))

(1) (1 - \frac{10}{100} + \frac{1}{2 π} (sin (2 π) (\frac{10}{100})))

\frac{9}{10}

Solution steps

(1) (1 - \frac{10}{100} + \frac{1}{2 π} (sin (2 π) (\frac{10}{100})))

= 1 \cdot (1 - \frac{10}{100} + \frac{1}{2 π} sin (2 π) \frac{10}{100})

Rewrite using trig identities:

sin (2 π) = 0

= 1 \cdot (1 - \frac{10}{100} + \frac{1}{2 π} \cdot 0 \cdot \frac{10}{100})

Simplify

1 \cdot (1 - \frac{10}{100} + \frac{1}{2 π} \cdot 0 \cdot \frac{10}{100}) : \frac{9}{10}

= \frac{9}{10}

cos (π) + i \cdot sin (π)

sin (\frac{3 π}{5}) cos (\frac{π}{15}) + cos (\frac{3 π}{5}) sin (\frac{π}{15})

arctan (\frac{6}{- 5})

4 sec (\frac{3 π}{4})

cos (\frac{π}{8}) + sin (\frac{π}{8})

What is the value of (1)(1-10/100+1/(2pi)(sin(2pi)(10/100))) ?
The value of (1)(1-10/100+1/(2pi)(sin(2pi)(10/100))) is 9/10