Answer:
112
Step-by-step explanation:
To find the least common multiple, we break the numbers down into prime factors
7 = 7
14 = 7*2
16 = 2*8 = 2*4*2 = 2*2*2*2
Then we take the largest number of times it appears in all the numbers
2 appears 4 times so we take take four 2's
7 appears 1 so we take one 7
LCM = 2*2*2*2*7
LCM = 112
is in quadrant I, so .
is in quadrant II, so .
Recall that for any angle ,
Then with the conditions determined above, we get
and
Now recall the compound angle formulas:
as well as the definition of tangent:
Then
1.
2.
3.
4.
5.
6.
7. A bit more work required here. Recall the half-angle identities:
Because is in quadrant II, we know that is in quadrant I. Specifically, we know , so . In this quadrant, we have , so
8.
The missing trigonometric values are listed below:
- Angle A = 90 - θ
- sin 28° = cos (62°)
- Cos 33° = sin 57°
- Cos 31° = sin 59°
- Cos (90 - θ) = sin(θ)
<h3>Meaning of Trigonometry</h3>
Trigonometry is a branch of mathematics that studies angles of triangles and its side length.
Trigonometry is so important that every student must come across this branch of mathematics.
In conclusion, the missing trigonometric values are listed above
Learn more about trigonometry: brainly.com/question/24349828
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The answer to your question is (x+6)(x-1)
Let's see all the steps:
1) operation : 5 options
2) only one option: we ignore it
3) the third operation: 6 options
4): 2 options.
So we have 5 options, 6 options and 2 options: and they are independent of each other. This means that we multiply the numbers, and 5*6*2=60 So the answer is 60!