What is ((cos^2(t)-1))/2 ?

The solution to ((cos^2(t)-1))/2 is -(sin^2(t))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((cos^2(t)-1))/2

simplify

\frac{( cos ^{2} ( t ) - 1 )}{2}

- \frac{sin ^{2} ( t )}{2}

Solution steps

\frac{cos ^{2} ( t ) - 1}{2}

Use the Pythagorean identity:

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

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

= \frac{- sin ^{2} ( t )}{2}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{sin ^{2} ( t )}{2}

(x^{2} + 2 x y + y^{2}) - z^{2}

sec^{2} (x + y) + \frac{csc ^{2} ( 2 x + 2 y )}{3}

(6) x^{3} + y^{3} - 3 x y + 1

\frac{( c ) 1}{( 5 + 2 )}

(3 x^{6} + 5 x^{2} - 2 x^{2} - 1) (x^{2} - 2)