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5 votes
Solve equation 2 cot² x + 2 = 7 + 3 cot x for

0 \leqslant x \leqslant 360


User Liliann
by
7.8k points

1 Answer

3 votes

Answer:

Look below.

Explanation:


2 (cotx)^(2) + 2 = 7 + 3 cot x\\let \\ u=cotx\\2u^2+2=7+3u\\2u^2-3u-5=0\\
x=(-(-3)+√(9-4(2)(-5))) )/(2(2)) \\x=(-(-3)-√(9-4(2)(-5))) )/(2(2)) \\x={11/4}\\x=-1\\\\u=cotx\\x=arccotu\\x_(1)=arccot(-1) \\x_(2)=arccot(11/4)\\

Calculate x1 and x2 in calculator. Check for domain.

User Andreas Brinck
by
9.0k points
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