Is 4cos^2(x)-2=2-4sin^2(x) ?

The answer to whether 4cos^2(x)-2=2-4sin^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 4cos^2(x)-2=2-4sin^2(x)

prove

4 cos^{2} (x) - 2 = 2 - 4 sin^{2} (x)

True

Solution steps

4 cos^{2} (x) - 2 = 2 - 4 sin^{2} (x)

Manipulating left side

4 cos^{2} (x) - 2

Rewrite using trig identities

= - 4 sin^{2} (x) + 2

= 2 - 4 sin^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

sin (3 x) = sin (x) (3 - 4 sin^{2} (x))

1 + sec (θ) tan (θ) sin (θ) = sec^{2} (θ)

2 - cos^{2} (θ) = 1 + sin^{2} (θ)

(tan (x)) (sin (x)) + cos (x) = sec (x)

sin (x) + sin (x) \cdot cot^{2} (x) = csc (x)

Is 4cos^2(x)-2=2-4sin^2(x) ?
The answer to whether 4cos^2(x)-2=2-4sin^2(x) is True