Is 2sin(θ)=2sin(θ)cos(θ) ?

The answer to whether 2sin(θ)=2sin(θ)cos(θ) is False

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prove 2sin(θ)=2sin(θ)cos(θ)

prove

2 sin (θ) = 2 sin (θ) cos (θ)

False

Solution steps

2 sin (θ) = 2 sin (θ) cos (θ)

Show that the two sides are not equal

For

2 sin (θ) = 2 sin (θ) cos (θ)

plug in

θ = 1

2 sin (1) = 1.68294 \dots

2 sin (1)

Refine to a decimal form

= 1.68294 \dots

2 sin (1) cos (1) = 0.90929 \dots

2 sin (1) cos (1)

Refine to a decimal form

= 0.90929 \dots

The two sides are not equal

\Rightarrow False

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