Answer:
x = π/2 + πk
Step-by-step explanation:
cot² x csc² x + 2 csc² x − cot² x = 2
Multiply both sides by sin² x:
cot² x + 2 − cos² x = 2 sin² x
Add cos² x to both sides:
cot² x + 2 = 2 sin² x + cos² x
Pythagorean identity:
cot² x + 2 = sin² x + 1
Subtract 1 from both sides:
cot² x + 1 = sin² x
Pythagorean identity:
csc² x = sin² x
Multiply both sides by sin² x:
1 = sin⁴ x
Take the fourth root:
sin x = ±1
Solve for x:
x = π/2 + 2πk, 3π/2 + 2πk
Which simplifies to:
x = π/2 + πk
Answer:
D irrational number
Step-by-step explanation:
because you do the Pythagorean theorem and you get 7.81024976 and that is a irrational number
Answer:
-⅖
Step-by-step explanation:
We need to simplify the given equation and find out the value of a , as ,
=> 3(a-1)+31-11a = 4(2a+3)
=> 3a -3+31-11a = 8a + 12
=> -8a -28 = 8a + 12
=> 16a = -28-12
=> 16a = -40
=> a = -2/5
<h3>
• Hence the value of a is -⅖ .</h3>
Answer:
x= -108
Step-by-step explanation:
x/6 + 7 = -11
x/6= -11-7
x/6= -18
x= -18*6
x= -108
