What is the value of 1/4 sin(4pi) ?

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/4 sin(4pi)

\frac{1}{4} sin (4 π)

0

Solution steps

\frac{1}{4} sin (4 π)

Rewrite using trig identities:

sin (4 π) = 0

sin (4 π)

sin (4 π) = sin (0)

sin (4 π)

Rewrite

4 π

2 π \cdot 2 + 0

= sin (2 π 2 + 0)

Apply the periodicity of

sin

sin (x + 2 π \cdot k) = sin (x)

sin (2 π \cdot 2 + 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{1}{4} \cdot 0

Simplify

= 0

e^{π - π} tan (29 π)

129.5 sin (3 2^{\circ})

8 sin (\frac{π}{6}) cos (\frac{π}{6})

\frac{( ( 10.3 1 ^{2} ) \cdot ( 2 \cdot sin ( 22.8 3 ^{\circ} ) ) )}{9.8}

2 sin^{2} (0) - 7 sec^{2} (0) + 2 cos^{2} (0) + 7 tan^{2} (0)