Is (sin^2(x)-cos^2(x)+1)/2 =sin^2(x) ?

The answer to whether (sin^2(x)-cos^2(x)+1)/2 =sin^2(x) is True

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

prove (sin^2(x)-cos^2(x)+1)/2 =sin^2(x)

prove

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

True

Solution steps

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

Manipulating left side

\frac{sin ^{2} ( x ) - cos ^{2} ( x ) + 1}{2}

Rewrite using trig identities

= sin^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

sin^{2} (a) + sin^{2} (a) tan^{2} (a) = tan^{2} (a)

sin (b) + cos (b) cot (b) = csc (b)

sin^{2} (θ) (csc^{2} (θ) - 1) = cos^{2} (θ)

cot (α) sec (α) = csc (α)

\frac{sec ( x ) - cos ( x )}{sin ^{2} ( x )} = sec (x)

Is (sin^2(x)-cos^2(x)+1)/2 =sin^2(x) ?
The answer to whether (sin^2(x)-cos^2(x)+1)/2 =sin^2(x) is True