Is (sin(6x))/(cos(x))=6sin(x) ?

The answer to whether (sin(6x))/(cos(x))=6sin(x) is False

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prove (sin(6x))/(cos(x))=6sin(x)

prove

\frac{sin ( 6 x )}{cos ( x )} = 6 sin (x)

False

Solution steps

\frac{sin ( 6 x )}{cos ( x )} = 6 sin (x)

Show that the two sides are not equal

For

\frac{sin ( 6 x )}{cos ( x )} = 6 sin (x)

plug in

x = 1

\frac{sin ( 6 \cdot 1 )}{cos ( 1 )} = - 0.51714 \dots

\frac{sin ( 6 \cdot 1 )}{cos ( 1 )}

Refine to a decimal form

= - 0.51714 \dots

6 sin (1) = 5.04882 \dots

6 sin (1)

Refine to a decimal form

= 5.04882 \dots

The two sides are not equal

\Rightarrow False

\frac{cot ( x )}{cos ( x )} + \frac{sec ( x )}{cot ( x )} = sec^{2} (x) csc (x)

csc (x) sec (x) - tan (x) = cot (x)

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

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

- csc (x) cos (x) = - cot (x)

Is (sin(6x))/(cos(x))=6sin(x) ?
The answer to whether (sin(6x))/(cos(x))=6sin(x) is False