Respuesta :
Answer:
The solution to the inequality is
x > 2π
Step-by-step explanation:
Given the inequality :
2 - 3cscx > 8
We want to find the solution to this.
2 - 3cscx > 8
-3cscx > 8 - 2
-3cscx > 6
cscx < -2
But cscx = 1/cosx
1/cosx < -2
cosx > -1/2
x > arccos(-1/2)
x > 2π
The solution to the trigonometric inequality is 2π/3.
What is Trigonometry?
Trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations.
Given: 2-3cscx > 8
Solving the above inequality
2 - 3cscx > 8
-3cscx > 8 - 2
-3cscx > 6
cscx < -2
we know,
csc x= 1/ sin x
1/sin x < -2
sin x > -1/2
x > arcsin(-1/2)
x > 2π/3
Hence, the solution to the trigonometric inequality is 2π/3.
Learn more about this concept here:
https://brainly.com/question/19623517
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