1 / 4

Pg. 385 Homework

Pg. 385 Homework. Pg. 395 #13 – 41 odd, graph the three inverse trig functions and label the domain and range of each. Memorization quiz through inverse trig functions on Wednesday!! #43 y = 3.61 sin ( x + 0.59) #44 y = -5.83 sin ( x – 0.54 ) #46 y = 5 sin (2 x – 0.64)

taffy
Download Presentation

Pg. 385 Homework

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Pg. 385 Homework • Pg. 395 #13 – 41 odd, graph the three inverse trig functions and label the domain and range of each.Memorization quiz through inverse trig functions on Wednesday!! • #43 y = 3.61 sin (x + 0.59) • #44 y = -5.83 sin (x– 0.54) • #46 y = 5 sin (2x – 0.64) • #51 D: (∞, ∞); R: [-5.39, 5.39]; P: 2π; max (0.38, 5.39); min (3.52, -5.39)

  2. 7.2 Inverse Trigonometric Functions Inverse Functions Inverse sin x Consider y = sin x on the interval [-π/2, π/2]. Will it pass the HLT? Will it have an inverse? An inverse can be defined as long as the domain of the original function lends itself to an inverse. • What is an inverse? • How can you tell it is an inverse both algebraically and graphically? • Will trig functions have an inverse?

  3. 7.2 Inverse Trigonometric Functions Inverse Sine Function Inverse Cosine Functions The inverse cosine function, denoted y = cos-1 x or y = arccosx is the function with a domain of [-1, 1] and a range of [0, π] that satisfies the relation cosy = x. If f(x) = cosx and f-1(x) = cos-1 x(f-1 ◦ f)(x) = x on [0, π] and(f ◦ f-1)(x) = x on [-1, 1] • The inverse sine function, denoted y = sin-1 x or y = arcsinx is the function with a domain of [-1, 1] and a range of [-π/2, π/2] that satisfies the relation sin y = x. • If f(x) = sin x and f-1(x) = sin-1 x(f-1 ◦ f)(x) = x on [-π/2, π/2] and(f ◦ f-1)(x) = x on [-1, 1]

  4. 7.2 Inverse Trigonometric Functions Inverse Tangent Function Finding the Domain and Range f(x) = sin-1 (2x) g(x) = sin-1 (⅓ x) • The inverse tangent function, denoted y = tan-1 x or y = arctanx is the function with a domain of (-∞, ∞) and a range of (-π/2, π/2) that satisfies the relation tan y = x. • If f(x) = tan x and f-1(x) = tan-1 x(f-1 ◦ f)(x) = x on (-π/2, π/2) and(f ◦ f-1)(x) = x on (-∞, ∞)

More Related