Cos (π/2 - x) = sin x = 3/5
tan x = sin x / cos x = 3/5 / 4/5 = 3/4
csc x = 1/sin x = 1 / 3/5 = 5/3
sec x = 1/cos x = 1 / 4/5 = 5/4
cot x = 1/tan x = 1 / 3/4 = 4/3.
Answer:
(a). $20,000
(b). The estimate will be lower than the actual amount.
Step-by-step explanation:
We have been given that Michael saves $423 dollars a month for college.
(a). We know that 1 year equals 12 months.
4 years = 4*12 months = 48 months.

Since we are asked to find the estimated amount of money Michael will save in 4 years, so we will estimate both quantities as:



Therefore, Michael will save approximately $20,000 in 4 years.
(b).
The estimate will be lower than the actual amount as we rounded $423 down $23 to nearest hundred that is $400 and rounded 48 up 2 to nearest ten that is 40.
Therefore, the estimate will be lower than the actual amount.
A,B,E
C in case y=1, im not entierly sure what is implied by identity unless youre talking composition or inverses
6/3 + 2/3 = (6 + 2)/3:
4 + 3/8 - (6 + 2)/3
6 + 2 = 8:
4 + 3/8 - 8/3
Put 4 + 3/8 - 8/3 over the common denominator 24. 4 + 3/8 - 8/3 = (24×4)/24 + (3×3)/24 + (8 (-8))/24:
(24×4)/24 + (3×3)/24 + (8 (-8))/24
24×4 = 96:
96/24 + (3×3)/24 + (8 (-8))/24
3×3 = 9:
96/24 + 9/24 + (8 (-8))/24
8 (-8) = -64:
96/24 + 9/24 + (-64)/24
96/24 + 9/24 - 64/24 = (96 + 9 - 64)/24:
(96 + 9 - 64)/24
| 1 |
| 9 | 6
+ | | 9
1 | 0 | 5:
(105 - 64)/24
| 0 | 10 |
| 1 | 0 | 5
- | | 6 | 4
| 0 | 4 | 1:
Answer: 41/24 or decimal 1.70833333.....