The question asks to convert the current decimal number into a fraction in simplest form and the possible answer, base on my ways nad calculating the said decimal, its fractional form is 1/16. I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarification
Answer:
lol
Step-by-step explanation:
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:
brainly.com/question/26719838
#SPJ1
Answer: 48 minutes
I just took the test and got it right.
