Is sqrt(1+sin(4a)+sin(2a))=cos(2a) ?

The answer to whether sqrt(1+sin(4a)+sin(2a))=cos(2a) is False

prove sqrt(1+sin(4a)+sin(2a))=cos(2a)

prove

1 + sin (4 a) + sin (2 a) = cos (2 a)

False

Solution steps

1 + sin (4 a) + sin (2 a) = cos (2 a)

Show that the two sides are not equal

For

1 + sin (4 a) + sin (2 a) = cos (2 a)

plug in

a = 1

1 + sin (4 \cdot 1) + sin (2 \cdot 1) = 1.07354 \dots

1 + sin (4 \cdot 1) + sin (2 \cdot 1)

Refine to a decimal form

= 1.07354 \dots

cos (2 \cdot 1) = - 0.41614 \dots

cos (2 \cdot 1)

Refine to a decimal form

= - 0.41614 \dots

The two sides are not equal

\Rightarrow False

p ro v e \frac{1}{cos ( θ ) sin ( θ )} = \frac{csc ( θ )}{cos ( θ )}

p ro v e sin (x) (tan (x)) + cos (x) = sec (x)

p ro v e sec (β) - cos (β) = tan (β) sin (β)

p ro v e \frac{sin ( y ^{2} )}{cos ( y )} = sec (y) - cos (y)

p ro v e sin^{2} (\frac{π}{4} - 2 π) = cos^{2} (\frac{π}{4} - 2 π)

Is sqrt(1+sin(4a)+sin(2a))=cos(2a) ?
The answer to whether sqrt(1+sin(4a)+sin(2a))=cos(2a) is False