What is the value of 4.03sin(2pi)((200-76)/(365))+11.43 ?

The value of 4.03sin(2pi)((200-76)/(365))+11.43 is 1143/100

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4.03sin(2pi)((200-76)/(365))+11.43

4.03 sin (2 π) (\frac{200 - 76}{365}) + 11.43

\frac{1143}{100}

Decimal Notation

11.43

Solution steps

4.03 sin (2 π) (\frac{200 - 76}{365}) + 11.43

= \frac{403}{100} sin (2 π) \frac{200 - 76}{365} + \frac{1143}{100}

Rewrite using trig identities:

sin (2 π) = 0

sin (2 π)

sin (2 π) = sin (0)

sin (2 π)

Rewrite

2 π

2 π + 0

= sin (2 π + 0)

Apply the periodicity of

sin

sin (x + 2 π) = sin (x)

sin (2 π + 0) = sin (0)

= sin (0)

= sin (0)

Use the following trivial identity:

sin (0) = 0

sin (0)

sin (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= 0

= 0

= \frac{403}{100} \cdot 0 \cdot \frac{200 - 76}{365} + \frac{1143}{100}

Simplify

\frac{403}{100} \cdot 0 \cdot \frac{200 - 76}{365} + \frac{1143}{100} : \frac{1143}{100}

\frac{403}{100} \cdot 0 \cdot \frac{200 - 76}{365} + \frac{1143}{100}

\frac{403}{100} \cdot 0 \cdot \frac{200 - 76}{365} = 0

\frac{403}{100} \cdot 0 \cdot \frac{200 - 76}{365}

Subtract the numbers:

200 - 76 = 124

= 0 \cdot \frac{403}{100} \cdot \frac{124}{365}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= 0 \cdot \frac{403 \cdot 124}{100 \cdot 365}

\frac{403 \cdot 124}{100 \cdot 365} = \frac{12493}{9125}

\frac{403 \cdot 124}{100 \cdot 365}

Multiply the numbers:

403 \cdot 124 = 49972

= \frac{49972}{100 \cdot 365}

Multiply the numbers:

100 \cdot 365 = 36500

= \frac{49972}{36500}

Cancel the common factor:

4

= \frac{12493}{9125}

= 0 \cdot \frac{12493}{9125}

Apply rule

0 \cdot a = 0

= 0

= 0 + \frac{1143}{100}

0 + \frac{1143}{100} = \frac{1143}{100}

= \frac{1143}{100}

= \frac{1143}{100}

arctan (\frac{142.14}{140.31})

0.302 \cdot sin (6 0^{\circ})

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

6 tan (0)

arctan (1.61)

What is the value of 4.03sin(2pi)((200-76)/(365))+11.43 ?
The value of 4.03sin(2pi)((200-76)/(365))+11.43 is 1143/100