Answer:
sinФ = 8/17
cosФ = 15/17
tan Ф = 8/15
csc Ф = 17/8
sec Ф = 17/15
cot Ф = 15/8
Step-by-step explanation:
Let us revise the trigonometry functions
- Sin(x) = opposite/hypotenuse
- Cos(x) = adjacent/hypoteouse
- Tan(x) = opposite/adjacent
- Csc(x) = hypotenuse/opposit
- Sec(x) = hypotenues/adjacent
- Cot(x) = adjacent/opposite
In the given figure
The opposite side to angle Ф = 8
The adjacent side to angle Ф = 15
Find the hypotenuse using Pythagoras' theorem
Let us use the rules above to find the trigonometry functions
sinФ = 8/17
cosФ = 15/17
tan Ф = 8/15
csc Ф = 17/8
sec Ф = 17/15
cot Ф = 15/8
These are the two rules for when a and b are positive numbers.
a + b = b + a
a - b ≠ b -a
a - b = -b + a
For example:
5.71 + 2.84 = 2.84 + 5.71
8.55 = 8.55
5.71 - 2.84 ≠ 2.84 - 5.71
2.87 ≠ -2.87
5.71 - 2.84 = -2.84 + 5.71
2.87 = 2.87
These are the rules for when a and b are negative numbers.
a + b = b + a
a - b = b + a
For example,
-6.2 + (-3.96) = -3.96 + (-6.2)
-6.2 - 3.96 = -3.96 - 6.2
-10.16 = -10.16
-6.2 - (3.96) = -3.96 + (-6.2)
-10.16 = -10.16
Also, if a is a positive number, while b is a negative number, we see these rules:
a + b = a - b
a - b = a + b
For example,
5.71 + (-6.2) = 5.71 - 6.2
-0.49 = -0.49
5.71 - (-6.2) = 5.71 + 6.2
11.91 = 11.91
Also, if a is a negative number while b is a positive number, then these rules will apply:
a + b = b - a
a - b = -b - a
For example,
-3.96 + 2.84 = 2.84 - 3.96
-1.12 = <span>-1.12
</span>
-3.96 - 2.84 = -2.84 - 3.96
-6.8 = -6.8
I hope this helps! :)
Each song downloaded costs 3 points
each video costs 40 points
total of 999 points
if each song cost 3 points and she has 999 points to use she can download 333 songs at max
The geometric sequence is 3, 9, 27, 81, 243, 729 because each time it is multiplied by 3.
