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
Angle B is also 54° because they are vertically opposite angles.
Now, you do 54+54=108 and then 360-108=252. (The angles should always add up to 360, so remember that) Because angles C and D are also vertically corresponding angles, they add up to 252, and each measure 126°
Answer:
375
Step-by-step explanation:500 equals 100% divide by 4 its 125 times 3 equals 375, your welcome
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Answer:
55%
Step-by-step explanation:
11/20 = 0.55
0.55 = 55%
