Is (3csc(x)-3sin(x))/(tan(x)-cot(x))=3cos^3(x) ?

The answer to whether (3csc(x)-3sin(x))/(tan(x)-cot(x))=3cos^3(x) is False

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prove (3csc(x)-3sin(x))/(tan(x)-cot(x))=3cos^3(x)

prove

\frac{3 csc ( x ) - 3 sin ( x )}{tan ( x ) - cot ( x )} = 3 cos^{3} (x)

False

Solution steps

\frac{3 csc ( x ) - 3 sin ( x )}{tan ( x ) - cot ( x )} = 3 cos^{3} (x)

Show that the two sides are not equal

For

\frac{3 csc ( x ) - 3 sin ( x )}{tan ( x ) - cot ( x )} = 3 cos^{3} (x)

plug in

x = 1

\frac{3 csc ( 1 ) - 3 sin ( 1 )}{tan ( 1 ) - cot ( 1 )} = 1.13706 \dots

\frac{3 csc ( 1 ) - 3 sin ( 1 )}{tan ( 1 ) - cot ( 1 )}

Refine to a decimal form

= 1.13706 \dots

3 cos^{3} (1) = 0.47318 \dots

3 cos^{3} (1)

Refine to a decimal form

= 0.47318 \dots

The two sides are not equal

\Rightarrow False

9 cos (x^{\circ}) + 6 sin (x^{\circ}) = 10

\frac{tan ^{2} ( A )}{sec ^{2} ( A )} = sin^{2} (A)

sin (2 x) - cot (x) = cot (x) cos (2 x)

tan (x) + cot (x) \cdot tan (x) = sec^{2} (x)

sin (4 θ) = \frac{3}{8} - cos (2 θ) + \frac{1}{8} cos (4 θ)

Is (3csc(x)-3sin(x))/(tan(x)-cot(x))=3cos^3(x) ?
The answer to whether (3csc(x)-3sin(x))/(tan(x)-cot(x))=3cos^3(x) is False