What is tanx -1?

The expression tanx - 1 is a trigonometric expression. It represents the result of subtracting 1 from the tangent of angle x.

The function tangent of x (tanx) is defined as the ratio of the length of the opposite side to the length of the adjacent side of a right-angled triangle that contains angle x.

Thus, tanx - 1 indicates how much less (or negative) 1 is than the value of the tangent function evaluated at x.

The expression tanx - 1 can be simplified using various trigonometric identities, such as the Pythagorean identity or the double-angle formula. Its graph exhibits periodic behavior with vertical asymptotes at odd multiples of pi/2 and horizontal asymptote at y = -1.