344,851 views
36 votes
36 votes
3cot(2θ)+3=0 Can you help me solve this in degrees. Rounded to the nearest whole degree

User Collin Barrett
by
3.0k points

1 Answer

6 votes
6 votes

3 cot (2θ) + 3 = 0

Take 3 to the other side

3 cot (2θ) = -3

Divide both sides by 3

cot (2θ) = -3/3

cot (2θ) = -1

But cot = 1/ tan

1/ tan (2θ) = -1

Assume x = (2θ)

Then;

tan^-1 {-1 } = 2θ

-45 ° = 2θ

-22.5° = θ

-23° =θ

Answer

θ = -23°

User Plalanne
by
2.8k points
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