The answer is:
The answer is:
Step-by-step explanation:
x = 9.21° or x = 22.5°
cot²2x – 4cot2x + 3 = 0
Let cot2x = y
y² - 4y + 3 = 0
Factorizing, we have
y² - y - 3y + 3 = 0
y(y - 1) -3(y - 1) = 0
(y - 1)(y - 3) = 0
y - 1 = 0 or y - 3 = 0
y = 1 or y = 3
Since cot2x = y
cot2x = 1 or cot2x = 3
1/tan2x = 1 or 1/tan2x = 3
tan2x = 1 or tan2x = 1/3
2x = tan⁻¹(1) or 2x = tan⁻¹(1/3)
2x = 45° or 2x = 18.43°
x = 45°/2 or x = 18.43°/2
x = 22.5° or x = 9.21°
So, x = 9.21° or x = 22.5°
Learn more about cotx here:
brainly.com/question/15546709
Answer:
a
Step-by-step explanation:
5x - 2y - x + 5y
combine like terms
4x + 3y
Answer:
steps below
Step-by-step explanation:
√2 * sin(x+45°)
= √2 * (sinx cos45° + cosxsin45°)
= √2 * (sinx * √2/2 + cosx * √2/2 )
= (√2 * √2/2) (sinx + cosx)
= sinx + cosx
