Chapter 4.5 – Graphs of Tangent, Cotangent, Secant, and Cosecant the sin and cos functions, start learning how to graph the tan, sec, cot, and csc functions. These cosecant, secant, cotangent worksheets are founded on the common core state Download and print our reciprocal trigonometric ratios chart to benefit 27 Sep 2017 The Other Four: Tangent, Cotangent, Secant, Cosecant; Six is equal to the opposite side divided by the hypotenuse (opp/hyp in the diagram). The properties of the 6 trigonometric functions: sin (x), cos (x), tan(x), cot (x), sec ( x) and csc (x) are discussed. graph of secant function f(x) = sec (x). Pin it! symmetry: since csc(-x) = - csc(x) then csc (x) is an odd function and its graph is

## SECTION 4.5 Graphs of Tangent, Cotangent, Secant, and Cosecant 361 The Tangent Function The graph of the tangent function is shown below. As with the sine and cosine graphs, this graph tells us quite a bit about the function’s properties.

Chapter 4.5 – Graphs of Tangent, Cotangent, Secant, and Cosecant the sin and cos functions, start learning how to graph the tan, sec, cot, and csc functions. These cosecant, secant, cotangent worksheets are founded on the common core state Download and print our reciprocal trigonometric ratios chart to benefit 27 Sep 2017 The Other Four: Tangent, Cotangent, Secant, Cosecant; Six is equal to the opposite side divided by the hypotenuse (opp/hyp in the diagram). The properties of the 6 trigonometric functions: sin (x), cos (x), tan(x), cot (x), sec ( x) and csc (x) are discussed. graph of secant function f(x) = sec (x). Pin it! symmetry: since csc(-x) = - csc(x) then csc (x) is an odd function and its graph is Refer to this chart often in the next section of the lesson. Example 1 Why are the secant, cosecant, and cotangent functions called reciprocal functions?

### Chapter 4.5 – Graphs of Tangent, Cotangent, Secant, and Cosecant the sin and cos functions, start learning how to graph the tan, sec, cot, and csc functions.

I don't know what "chart" you are referring to. Just remember cosecant = 1 / sine and secant = 1 / cosine (opposite of what seems right), and cotangent = 1 / tangent. Oh man, what is all this sine and cosine business? What do these things even mean?! And Greek letters now? I don't know Greek! OK friend, just relax. Understanding the trig functions is as easy as For any right triangle, there are six trig ratios: Sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot). Here are the formulas for these six trig ratios: Given a triangle, you should be able to identify all 6 ratios for all the angles (except the right angle). Let's start by finding all 6 ratios for angle A. The most widely used trigonometric functions are the sine, the cosine, and the tangent. Their reciprocals are respectively the cosecant, the secant, and the cotangent, which are less used in modern mathematics. The oldest definitions of trigonometric functions, related to right-angle triangles, define them only for acute angles. transformation of the secant and cosecant graphs; Asymptotes of Secant, Cosecant, and Cotangent To find the x-intercepts and asymptotes of secant, cosecant, and cotangent, rewrite them in terms of sine and cosine. Notice that since secant and cosecant have 1 in the numerator and a trig function in the denominator, they can never equal zero