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

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

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

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

sin (2 \cdot 1) - cos (2 \cdot 1) = 1.32544 \dots

sin (2 \cdot 1) - cos (2 \cdot 1)

Refine to a decimal form

= 1.32544 \dots

tan (2 \cdot 1) - 1 = - 3.18503 \dots

tan (2 \cdot 1) - 1

Refine to a decimal form

= - 3.18503 \dots

The two sides are not equal

\Rightarrow False

0 = 0 (2) cos (θ)

(sec (e) - 1) (sec (e) + 1) = tan^{2} (e)

2 tan^{2} (x) + sec^{2} (x) - 2 = 0

\frac{( tan ( x ) cos ( x ) )}{sin ( x )} = 1

tan (\frac{π}{3}) sin (\frac{2 π}{3}) = 1 + sin (\frac{π}{6})

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