Is (sin(x))(tan(x)cos(x)-cot(x)cos(x))=1-2cos(2x) ?

The answer to whether (sin(x))(tan(x)cos(x)-cot(x)cos(x))=1-2cos(2x) is False

prove (sin(x))(tan(x)cos(x)-cot(x)cos(x))=1-2cos(2x)

prove

(sin (x)) (tan (x) cos (x) - cot (x) cos (x)) = 1 - 2 cos (2 x)

False

Solution steps

sin (x) (tan (x) cos (x) - cot (x) cos (x)) = 1 - 2 cos (2 x)

Show that the two sides are not equal

For

sin (x) (tan (x) cos (x) - cot (x) cos (x)) = 1 - 2 cos (2 x)

plug in

x = 1

sin (1) (tan (1) cos (1) - cot (1) cos (1)) = 0.41614 \dots

sin (1) (tan (1) cos (1) - cot (1) cos (1))

Refine to a decimal form

= 0.41614 \dots

1 - 2 cos (2 \cdot 1) = 1.83229 \dots

1 - 2 cos (2 \cdot 1)

Refine to a decimal form

= 1.83229 \dots

The two sides are not equal

\Rightarrow False

p ro v e sin (2 0^{\circ}) = 2 cos (1 0^{\circ}) \cdot sin (1 0^{\circ})

p ro v e sin^{2} (x) = sec (x) cos (x) - cos^{2} (x)

p ro v e 1 - 2 sin^{2} (2 θ) = 8 cos^{4} (θ) - 8 cos^{2} (θ) + 1

p ro v e sech^{2} (x) + tanh^{2} (x) = 1

p ro v e 2 cos^{2} (A) - cos (2 A) - 1 = 0

Is (sin(x))(tan(x)cos(x)-cot(x)cos(x))=1-2cos(2x) ?
The answer to whether (sin(x))(tan(x)cos(x)-cot(x)cos(x))=1-2cos(2x) is False