Is 2sec(x)=2+2tan(x) ?

The answer to whether 2sec(x)=2+2tan(x) is False

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prove 2sec(x)=2+2tan(x)

prove

2 sec (x) = 2 + 2 tan (x)

False

Solution steps

2 sec (x) = 2 + 2 tan (x)

Show that the two sides are not equal

For

2 sec (x) = 2 + 2 tan (x)

plug in

x = 1

2 sec (1) = 3.70163 \dots

2 sec (1)

Refine to a decimal form

= 3.70163 \dots

2 + 2 tan (1) = 5.11481 \dots

2 + 2 tan (1)

Refine to a decimal form

= 5.11481 \dots

The two sides are not equal

\Rightarrow False

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p ro v e sin (x) tan (x) = cos (x)

p ro v e 2 sin^{2} (\frac{x}{2}) + 4 cos^{2} (\frac{x}{2}) - 3 = cos (x)

p ro v e tan (2 u) = \frac{( 2 tan ( u ) )}{1 - tan ^{2} ( u )}

p ro v e \frac{1}{- sin ( x )} = sec (x) tan (x)