Is (cos(2θ))/(sin(2θ))=2cos(2θ) ?

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

Popular >

prove (cos(2θ))/(sin(2θ))=2cos(2θ)

prove

\frac{cos ( 2 θ )}{sin ( 2 θ )} = 2 cos (2 θ)

False

Solution steps

\frac{cos ( 2 θ )}{sin ( 2 θ )} = 2 cos (2 θ)

Show that the two sides are not equal

For

\frac{cos ( 2 θ )}{sin ( 2 θ )} = 2 cos (2 θ)

plug in

θ = 1

\frac{cos ( 2 \cdot 1 )}{sin ( 2 \cdot 1 )} = - 0.45765 \dots

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

Refine to a decimal form

= - 0.45765 \dots

2 cos (2 \cdot 1) = - 0.83229 \dots

2 cos (2 \cdot 1)

Refine to a decimal form

= - 0.83229 \dots

The two sides are not equal

\Rightarrow False

\frac{1 - tan ^{2} ( A )}{1 + tan ^{2} ( A )} = cos (2 A)

tan (θ) = \frac{sin ( 2 θ )}{1 + cos ( 2 θ )}

\frac{cot ^{2} ( b ) - 1}{2 cot ( b )} = cot (2 b)

\frac{cos ( x ) + sin ( x )}{sin ( x )} = 1 + cot (x)

sin (\frac{π}{3}) = cos (\frac{π}{6})

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