What is (1-sin^2(x))-(1-2sin^2(x)) ?

The solution to (1-sin^2(x))-(1-2sin^2(x)) is sin^2(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1-sin^2(x))-(1-2sin^2(x))

simplify

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

sin^{2} (x)

Solution steps

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

Apply rule:

(a) = a

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

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

Simplify

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

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

Use the Pythagorean identity:

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

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

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

Rewrite using trig identities

= sin^{2} (x)

\frac{( x ^{2} )}{3} + \frac{( 8 x )}{3} + 5

\frac{( - 2 x ^{5} - 3 x ^{2} )}{( x ^{- 2} )}

(3 x - 4 y)^{3} - (3 x - 4 y)^{3}

\frac{( 16 x ^{4} )}{( 32 x ^{4} + 48 x ^{4} )}

1 + 128 x^{14}

What is (1-sin^2(x))-(1-2sin^2(x)) ?
The solution to (1-sin^2(x))-(1-2sin^2(x)) is sin^2(x)