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

The answer to whether sqrt(cos^2(2x)+1+sin(2))=2 is False

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

prove sqrt(cos^2(2x)+1+sin(2))=2

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 0

cos^{2} (2 \cdot 0) + 1 + sin (2) = 1.70566 \dots

cos^{2} (2 \cdot 0) + 1 + sin (2)

Refine to a decimal form

= 1.70566 \dots

The two sides are not equal

\Rightarrow False

(cos (k) - sec (k))^{2} = tan^{2} (- sin^{2} (k))

sin (x) = tan^{2} (x) cos^{2} (x)

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

sin (3 x) = 2 \cdot sin (\frac{3 x}{2}) \cdot cos (\frac{3 x}{2})

\frac{sin ( 9 x ) - sin ( 3 x )}{cos ( 9 x ) - cos ( 3 x )} = - \frac{cos ( 6 x )}{sin ( 6 x )}

Is sqrt(cos^2(2x)+1+sin(2))=2 ?
The answer to whether sqrt(cos^2(2x)+1+sin(2))=2 is False