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

Solution

prove

tan (x) + sec (x) = 1

False

Solution steps

tan (x) + sec (x) = 1

Show that the two sides are not equal

For

tan (x) + sec (x) = 1

plug in

x = 1

tan (1) + sec (1) = 3.40822 \dots

tan (1) + sec (1)

Refine to a decimal form

= 3.40822 \dots

The two sides are not equal

\Rightarrow False

- sinh^{2} (x) + cosh^{2} (x) = 1

sin^{2} (x) + cos^{2} (x) - 1 = 0

sec (x) sin (\frac{π}{2} - x) = 1

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

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