Respuesta :
Answer:
A. [tex]\text{sin}^{-1}(\frac{2}{3})\approx 42^{\circ}[/tex]
B. [tex]\text{tan}^{-1}(4)\approx 76^{\circ}[/tex]
C. [tex]\text{cos}^{-1}(0.1)\approx 84^{\circ}[/tex]
Step-by-step explanation:
We have been given inverse trigonometric functions. We are asked to find the value of each function.
A. [tex]\text{sin}^{-1}(\frac{2}{3})[/tex]
We will use inverse sin to solve our given equation as:
[tex]\text{sin}^{-1}(\frac{2}{3})=41.81^{\circ}[/tex]
Round to nearest degree:
[tex]\text{sin}^{-1}(\frac{2}{3})\approx 42^{\circ}[/tex]
B. [tex]\text{tan}^{-1}(4)[/tex]
We will use inverse tann to solve our given equation as:
[tex]\text{tan}^{-1}(4)=75.963756^{\circ}[/tex]
Round to nearest degree:
[tex]\text{tan}^{-1}(4)\approx 76^{\circ}[/tex]
C. [tex]\text{cos}^{-1}(0.1)[/tex]
We will use inverse cosine to solve our given equation as:
[tex]\text{cos}^{-1}(0.1)=84.2608295^{\circ}[/tex]
Round to nearest degree:
[tex]\text{cos}^{-1}(0.1)\approx 84^{\circ}[/tex]
To solve the problem we must know about the concept of trigonometry.
The value of [tex]\rm sin^{-1} (2/3), tan^{-1}(4), and\ cos^{-1}(0.1)[/tex] is 42, 76, and 85 degrees respectively.
What is trigonometry?
Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
Given
[tex]\rm sin^{-1} (2/3), tan^{-1}(4), and\ cos^{-1}(0.1)[/tex] are the trigonometric function.
To find
The value of the [tex]\rm sin^{-1} (2/3), tan^{-1}(4), and\ cos^{-1}(0.1)[/tex].
How to get the value of the trigonometric function?
[tex]\rm 1. \ \ sin^{-1} (2/3) = 41.81^o = 42^o\\\\ 2. \ \ \ \ \ tan^{-1}(4) = 75.96^o = 76^o \\\\3. \ \ cos{-1}(0.1)= 84.26^o = 85^o[/tex]
The value of [tex]\rm sin^{-1} (2/3), tan^{-1}(4), and\ cos^{-1}(0.1)[/tex] is 42, 76, and 85 degrees respectively.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
