prove 2tan(x^2)+1=1

Solution

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

2 tan (1^{2}) + 1 = 4.11481 \dots

2 tan (1^{2}) + 1

Refine to a decimal form

= 4.11481 \dots

The two sides are not equal

\Rightarrow False

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

2 cos^{2} (x) = cos (2 x)

tan (θ) cos (θ) - sin^{2} (θ) = cos^{2} (θ)

\frac{cot ^{2} ( θ )}{cos ^{2} ( θ )} = csc^{2} (θ)

cos (x^{2}) - cos (x^{2}) = - 2 cos^{2} (x)