Is sec^2(x)(1+cos^2(x))=2-tan^2(x) ?

The answer to whether sec^2(x)(1+cos^2(x))=2-tan^2(x) is False

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prove sec^2(x)(1+cos^2(x))=2-tan^2(x)

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

sec^{2} (1) (1 + cos^{2} (1)) = 4.42551 \dots

sec^{2} (1) (1 + cos^{2} (1))

Refine to a decimal form

= 4.42551 \dots

2 - tan^{2} (1) = - 0.42551 \dots

2 - tan^{2} (1)

Refine to a decimal form

= - 0.42551 \dots

The two sides are not equal

\Rightarrow False

\frac{( cos ( π + x ) )}{cos ( \frac{3 π}{2} - x )} = cot (x)

1 + (sec^{2} (x)) (sin^{2} (x)) = sec^{2} (x)

tan (A + π) = tan (A)

sin (12 0^{\circ}) = sin (18 0^{\circ} - 6 0^{\circ})

\frac{sin ( 2 x )}{tan ( 2 x )} = 1 - 2 sin^{2} (x)

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