Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
• 1 + cot²x = csc²x
Consider the left side
x -
x
Factorise as a difference of squares
= (csc²x - cot²x)(csc²x + cot²x)
= (1 + cot²x - cot²x)(csc²x + cot²x)
= csc²x + cot²x
= csc²x + csc²x - 1
= 2csc²x - 1 = right side ⇒ verified
Answer:
hello your question is incomplete below is the missing parts of the question
answer : K = 80
Step-by-step explanation:
P [ x ≤ 1 ] < 0.1
determine how large k have to be
note : n = k
sample proportion = 0.01
E = 0.05 - 0.01 = 0.04
applying this formula below
E =
0.04 = 1.645 make n subject of the equation
n = 80.3353
hence the value of K ≈ 80
