How does cotangent relate to secant and cosecant?
The cosecant is the reciprocal of the sine. The secant is the reciprocal of the cosine. The cotangent is the reciprocal of the tangent.
How is cotangent related to tangent?
The cotangent is the reciprocal trigonometric ratio of the tangent. It is the reciprocal or multiplicative inverse of the tangent, that is, tan θ · cotθ = 1. In a right triangle, the cotangent of the angle θ is defined as the ratio of the adjacent leg (b) to the opposite leg (a).
What is cosecant equation?
The cosecant formula is given as follows: cosec A = hypotenuse / opposite side = AB / BC = c / a. We know that, sin A = opposite side / hypotenuse. Cosecant is the reciprocal of sine.
What is the difference between sine cosine tangent and cosecant?
Sine, cosine, secant, and cosecant have period 2 π while tangent and cotangent have period π. Identities for negative angles. Sine, tangent, cotangent, and cosecant are odd functions while cosine and secant are even functions. Ptolemy’s identities, the sum and difference formulas for sine and cosine. Double angle formulas for sine and cosine.
What is the period of cosecant secant and cotangent?
Graphs of cosecant, secant, and cotangent 274 0 0 Periods Cosecant, secant, and cotangent are periodic functions. Cosecant and se- cant have the same period as sine and cosine do, namely 2ˇ. Cotangent has period ˇ, just as tangent does.
Why is the secant of cos 1 even?
The reason secant is even is that cosine is even: sec( ) = 1 cos( ) = 1 cos() = sec() An odd function is a function f(x) with the property that f( x) = f(x). Examples include x3, x5, x7, sine, and tangent.
How do you find the cotangent and secant of X?
The cotangent of x is defined to be the cosine of x divided by the sine of x: cotx = cosx sinx: The secant of x is 1 divided by the cosine of x: secx = 1 cosx; and the cosecant of x is defined to be 1 divided by the sine of x: cscx = 1 sinx: If you are not in lecture today, you should use these formulae to make a numerical table for each of these