Answer:
Step-by-step explanation:
The probability for vowel from apple is <em><u>2/5</u></em>
The probability for consonant of book is <em><u>2/4 or 1/2</u></em>
Step-by-step explanation:
1. All the trigonometric values can be found using the unit circle. See attached table.
2. Graph:
desmos.com/calculator/10n7yrm3tm
3. All trig functions are periodic functions. The period of secant and cosecant is 2π. The period of cotangent is π.
4. Using the table from step 1 and the graph from step 2, secant has a domain of x ≠ pi/2, 3pi/2 and a range of x ≤ -1, x ≥ 1. Cotangent has a domain of x ≠ 0, pi, 2pi and a range of -∞ < x < ∞.
5. Graph:
desmos.com/calculator/tldiqt7qra
Cosecant has the same graph as secant shifted π/2 to the right. So they have different domains, but the same range.
The first twin. The lucky numbers must be 2 and 1, respectively. The second twin is lying because 2+(1x2)= 4 not 5.