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

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

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

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

sec^{2} (1) (sec (1) - cos (1)) = 4.48918 \dots

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

Refine to a decimal form

= 4.48918 \dots

tan^{2} (1) = 2.42551 \dots

tan^{2} (1)

Refine to a decimal form

= 2.42551 \dots

The two sides are not equal

\Rightarrow False

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

1 - \frac{sin ( x )}{1 + cos ( x )} = cos (x)

2 cos (3 x) = cot (3 x)

cos^{2} (θ) tan^{2} (θ) + cos^{2} (θ) = 1

\frac{sin ( θ ) csc ( θ )}{tan ( θ )} = cot (θ)

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