Is sec^2(x)=(cos(x))/(sin(x)) ?

The answer to whether sec^2(x)=(cos(x))/(sin(x)) is False

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prove sec^2(x)=(cos(x))/(sin(x))

prove

sec^{2} (x) = \frac{cos ( x )}{sin ( x )}

False

Solution steps

sec^{2} (x) = \frac{cos ( x )}{sin ( x )}

Show that the two sides are not equal

For

sec^{2} (x) = \frac{cos ( x )}{sin ( x )}

plug in

x = 1

sec^{2} (1) = 3.42551 \dots

sec^{2} (1)

Refine to a decimal form

= 3.42551 \dots

\frac{cos ( 1 )}{sin ( 1 )} = 0.64209 \dots

\frac{cos ( 1 )}{sin ( 1 )}

Refine to a decimal form

= 0.64209 \dots

The two sides are not equal

\Rightarrow False

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

1 + tan^{2} (B) = sec^{2} (B)

sec (\frac{3 π}{4}) = - 2

cos^{2} (7 θ) - sin^{2} (7 θ) = cos (14 θ)

sin^{4} (x) - (\frac{3}{4 \cdot sin ^{2} ( x )}) + 1 = 1

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