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:
$36
Step-by-step explanation:
22+14=36
Answer:
As x approaches ∞, y approaches -∞
As x approaches -∞, y approaches ∞
Step-by-step explanation:

F(x) is a fifth degree (odd function ) with negative leading coefficient
If exponent is odd and leading coefficient is negative then end behavior is
As x approaches ∞, y approaches -∞
As you go on the right , f(x) goes down
As x approaches -∞, y approaches ∞
As you go on the left , f(x) goes up
Answer:
11).
= 90°
12).
= 212°
Step-by-step explanation:
A circle F with AB and CD are the diameters has been given in the figure attached.
11). Since,
= 180°
and 
Therefore,
= 180°
32° +
+ 58° = 180°
= 180° - 90°
= 90°
12. Since,
= 32°
= 
= 180° + 32°
= 212°