Is 2cos^2(A)-1=1-2sin^2(A) ?

The answer to whether 2cos^2(A)-1=1-2sin^2(A) is True

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

prove 2cos^2(A)-1=1-2sin^2(A)

prove

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

True

Solution steps

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

Manipulating left side

2 cos^{2} (A) - 1

Rewrite using trig identities

= - 2 sin^{2} (A) + 1

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

We showed that the two sides could take the same form

\Rightarrow True

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

- 30 cos (3 x) sin (3 x) = - 15 sin (6 x)

sec (b) cot (b) = csc (b)

sin (A + B) = sin (A) + sin (B)

\frac{cot ^{2} ( B ) - cos ^{2} ( B )}{csc ^{2} ( B ) - 1} = cos^{2} (B)

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