Is 2cos(3x)=cot(3x) ?

The answer to whether 2cos(3x)=cot(3x) is False

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prove 2cos(3x)=cot(3x)

prove

2 cos (3 x) = cot (3 x)

False

Solution steps

2 cos (3 x) = cot (3 x)

Show that the two sides are not equal

For

2 cos (3 x) = cot (3 x)

plug in

x = 1

2 cos (3 \cdot 1) = - 1.97998 \dots

2 cos (3 \cdot 1)

Refine to a decimal form

= - 1.97998 \dots

cot (3 \cdot 1) = - 7.01525 \dots

cot (3 \cdot 1)

Refine to a decimal form

= - 7.01525 \dots

The two sides are not equal

\Rightarrow False

cos^{2} (θ) tan^{2} (θ) + cos^{2} (θ) = 1

\frac{sin ( θ ) csc ( θ )}{tan ( θ )} = cot (θ)

sec^{2} (θ) + csc (θ) = - sec^{2} (θ) csc (θ)

tan (5 x) = tan (3 x) sec (2 x) - tan (3 x)

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