What is the value of 2+sin((3pi)/4) ?

The value of 2+sin((3pi)/4) is 2+(sqrt(2))/2

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2+sin((3pi)/4)

2 + sin (\frac{3 π}{4})

2 + \frac{2}{2}

Decimal Notation

2.70710 \dots

Solution steps

2 + sin (\frac{3 π}{4})

Use the following trivial identity:

sin (\frac{3 π}{4}) = \frac{2}{2}

sin (\frac{3 π}{4})

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}

= \frac{2}{2}

= 2 + \frac{2}{2}

arcsin (sec (π))

sin (3 5^{\circ}) cos (5 5^{\circ}) + cos (3 5^{\circ}) sin (5 5^{\circ})

\frac{tan ( 7 1 ^{\circ} ) - tan ( 1 1 ^{\circ} )}{1 + tan ( 7 1 ^{\circ} ) tan ( 1 1 ^{\circ} )}

sin_{- 1} (1)

40 cos (4 0^{\circ})

What is the value of 2+sin((3pi)/4) ?
The value of 2+sin((3pi)/4) is 2+(sqrt(2))/2