Is cot(x)-tan(x)=2tan(2x) ?

The answer to whether cot(x)-tan(x)=2tan(2x) is False

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prove cot(x)-tan(x)=2tan(2x)

prove

cot (x) - tan (x) = 2 tan (2 x)

False

Solution steps

cot (x) - tan (x) = 2 tan (2 x)

Show that the two sides are not equal

For

cot (x) - tan (x) = 2 tan (2 x)

plug in

x = 1

cot (1) - tan (1) = - 0.91531 \dots

cot (1) - tan (1)

Refine to a decimal form

= - 0.91531 \dots

2 tan (2 \cdot 1) = - 4.37007 \dots

2 tan (2 \cdot 1)

Refine to a decimal form

= - 4.37007 \dots

The two sides are not equal

\Rightarrow False

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

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

cos (3 b) = cos (b) (cos^{2} (b) - 3 sin^{2} (b))

- (1 + tan^{2} (x)) = - 1 - tan^{2} (x)

sec (b) - (tan (b)) (sin (b)) = cos (b)

Is cot(x)-tan(x)=2tan(2x) ?
The answer to whether cot(x)-tan(x)=2tan(2x) is False