Is (sin(2θ))/(sin(θ))=2 ?

The answer to whether (sin(2θ))/(sin(θ))=2 is False

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

prove (sin(2θ))/(sin(θ))=2

prove

\frac{sin ( 2 θ )}{sin ( θ )} = 2

False

Solution steps

\frac{sin ( 2 θ )}{sin ( θ )} = 2

Show that the two sides are not equal

For

\frac{sin ( 2 θ )}{sin ( θ )} = 2

plug in

θ = 1

\frac{sin ( 2 \cdot 1 )}{sin ( 1 )} = 1.08060 \dots

\frac{sin ( 2 \cdot 1 )}{sin ( 1 )}

Refine to a decimal form

= 1.08060 \dots

The two sides are not equal

\Rightarrow False

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

- 2 sin (2 x + π) = - 2 sin (2 x - π)

cos (θ) (\frac{1}{1 - sin ( θ )}) = sec (θ) + tan (θ)

2 sin (a + b) sin (a - b) = cos (2 b) - cos (2 a)

\frac{1}{sin ( x )} = 2