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

The value of 2sin^2((3pi)/2) is 2sin^2((3pi)/2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2sin^2((3pi)/2)

2 sin^{2} (\frac{3 π}{2})

2 sin^{2} (\frac{3 π}{2})

Decimal Notation

2

Solution steps

2 sin^{2} (\frac{3 π}{2})

Rewrite using trig identities:

- 2 sin^{2} (\frac{3 π}{2}) = cos (π) - 1

- 2 sin^{2} (\frac{3 π}{2})

Use the Double Angle identity:

1 - 2 sin^{2} (x) = cos (2 x)

- 2 sin^{2} (x) = cos (2 x) - 1

= cos (2 \cdot \frac{3 π}{2}) - 1

Simplify:

2 \cdot \frac{3 π}{2} = 3 π

2 \cdot \frac{3 π}{2}

Multiply fractions:

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

= \frac{3 π 2}{2}

Cancel the common factor:

2

= 3 π

= cos (3 π) - 1

cos (3 π) = cos (π)

cos (3 π)

Rewrite

3 π

2 π + π

= cos (2 π + π)

Apply the periodicity of

cos

cos (x + 2 π) = cos (x)

cos (2 π + π) = cos (π)

= cos (π)

= cos (π) - 1

= 2 sin^{2} (\frac{3 π}{2})

sin (- 1 (- 1))

2 arctan (3)

tan (- 1.5)

\frac{20}{sin ( 3 6 ^{\circ} )}

\frac{1}{1 + sin ( \frac{π}{2} )}

What is the value of 2sin^2((3pi)/2) ?
The value of 2sin^2((3pi)/2) is 2sin^2((3pi)/2)