If sinx=1/5 and x terminates in the first quadrant, determine cos 2x.
1 answer:
Hey there! I'm happy to help!
Let's think of this angle being put inside of a unit circle (a circle with a radius of one). This angle is going to stay inside the first quadrant, so all of its trigonometric ratios will be positive.
We are given that the sin of x is 1/5. To get the x by itself, we can just find the inverse sine of both sides to isolate the x.
x=sin(1/5)
x≈ 11.536959
2x≈ 23.073918
Now, we just cosine this value.
cos2x≈ 0.92
I hope that this helps! Have a wonderful day!
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Answer:
- x = -1
Explanation:
5x + 2 = 3x
5x - 3x = -2
2x = -2
x =
x = -1
Hope this helps! ☺
By definition we have to:
In mathematics, the inverse multiplicative, reciprocal or inverse of a non-zero number x, is the number, denoted as 1/x or x -1, which multiplied by x gives 1.
We have then:
1) i
The multiplicative inverse is:
Rewriting we have:
Answer 3) -i
2) i^2
The multiplicative inverse is:
Rewriting we have:
Answer 4) -1
3) i^3
The multiplicative inverse is:
Rewriting we have:
Answer 1) i
4) i^4
The multiplicative inverse is:
Rewriting we have:
Answer 2) 1