Answer:
Step-by-step explanation:
9/16=x/12
cross product
16x=9*12
16x=108
x=108/16
simplify
x=27/4
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x-3/18=12/9
x=12/9+3/18
x=24/18+3/18
x=27/18
x=3/2
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7/11=18/x+1
18/x=7/11-1
18/x=7/11-11/11
18/x=-4/11
x=18/(-4/11)=(18/1)(-11/4)=-198/4=-99/2
x=-99/2
Answer:
7g es 17g y 20 es como es un ejemplo
The value of cos 2x is 119/169 after applying the trigonometric identity cos2x = 1 - 2sin²x option second is correct.
<h3>What is trigonometry?</h3>
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have given:
sinx = -5/13
and cosx > 0
We know,
cos2x = 1 - 2sin²x
sinx = -5/13
Squaring on both sides:
sin²x = 25/169
Multiply by 2 on both the sides:
2sin²x = 2(25/169)
Add -1 on both sides:
-1 + 2sin²x = -1 + 2(25/169)
or
1 - 2sin²x = 1 - 2(25/169)
cos2x = 1 - 50/169
cos2x = 119/169 (as the cosx > 0)
Thus, the value of cos 2x is 119/169 after applying the trigonometric identity cos2x = 1 - 2sin²x option second is correct.
Learn more about trigonometry here:
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The number 0.555 is the same as (55 and 1/2) hundredths.
Answer: Choice C) 1/4
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Work Shown:
Let's rearrange terms a bit to say the following:
The last equation is in the form
where,
- |A| = amplitude
- B handles the period. Specifically T = 2pi/B, where T is the period
- C handles the phase shift, aka horizontal shifting
- D determines the midline and the vertical shifting
We only need to worry about the value of B.
In this case, B = 1/4
So,
The period is 8pi. Every 8pi units, a full cycle is completed.
However, we're not going from 0 to 8pi, but instead from 0 to 2pi.
The given interval is 2pi units wide. This is (2pi)/(8pi) = 1/4 of a full cycle. This is why choice C is the answer.