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

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

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

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

(sec (1) + tan (1))^{2} = 11.61598 \dots

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

Refine to a decimal form

= 11.61598 \dots

The two sides are not equal

\Rightarrow False

tan (A) cot (A) = cos^{2} (A) + sin^{2} (A)

tan (a) + cot (a) = \frac{2}{sin ( 2 a )}

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

csc (x) = \frac{1}{sec ( x )}

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