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
<span>180 degrese or some thing flat</span>
Answer:
(3w - 7)(3w + 7)
Step-by-step explanation:
The expression is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
Thus
9w² - 49
= (3w)² - 7²
= (3w - 7)(3w + 7)
The far right would be the correct answer.
