Left Hand Side :
sin
x
+
cos
x
cot
x
We know that
cot
x
=
cos
x
sin
x
Therefore
sin
x
+
cos
x
cot
x
=
sin
x
+
cos
x
⋅
(
cos
x
sin
x
)
=
sin
x
+
cos
2
x
sin
x
=
sin
2
x
+
cos
2
x
sin
x
(We know the Trigonometric Identity
sin
2
x
+
cos
2
x
=
1
)
=
1
sin
x
=
csc
x
(Because Cosecant is the reciprocal of Sine)
Hence Proved.
Answer:
10 classes
Step-by-step explanation:
Ok, so to solve this we have to make two different equations. we can say 60x = y, or $60 per month, and 6a = b, or $6 per walk in. Since we want the options to end up costing the same, we can say that y = b. With substitution, we get that 60x, (60 per month) = 6a (6 per drop in). The question says we have 1 month, so x = 1. This means we have 60 = 6a, and a = 10 (10 classes).
Counting the number tabulated in the given above, it can be concluded that indeed there were 20 days in consideration. To determine how many days did they receive 19 or fewer emails, we just have to count the number less than 20. That is, 13 days out of the 20 working days.
Answer:
45
Step-by-step explanation:
If you treat this as a ratio, it would be 3 vowels to every 7 tiles. If one value in the ratio is multiplied by a number, the other should be multiplied by the same number. So if there are 105 tiles, the 7 in the ratio was multiplied by 15. Multiply the other value, 3, by the same number and you get 45.
Answer:
Ascending- 10%, 0.2, 1/4, 30%
Descending- 30%, 1/4, 0.2, 10%
Step-by-step explanation:
0.2 = 2/10 = 4/20
1/4 = 5/20
30% = 30/100 = 6/20
10% = 10/100 = 2/20
Ascending
-2/20, 4/20, 5/20, 6/20
- 10%, 0.2, 1/4, 30%
Descending
- 6/20, 5/20, 4/20, 2/20
- 30%, 1/4, 0.2, 10%
