What is the general solution for 4cot(x)=11,0<= x<360 ?

The general solution for 4cot(x)=11,0<= x<360 is x=0.34877…,x=0.34877…+180

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4cot(x)=11,0<= x<360

4 cot (x) = 11, 0^{\circ} \leq x < 36 0^{\circ}

x = 0.34877 \dots, x = 0.34877 \dots + 18 0^{\circ}

Solution steps

4 cot (x) = 11, 0^{\circ} \leq x < 36 0^{\circ}

Divide both sides by

4

cot (x) = \frac{11}{4}

Apply trig inverse properties

x = arccot (\frac{11}{4}) + 18 0^{\circ} n

Solutions for the range

0 \leq x < 36 0^{\circ}

x = arccot (\frac{11}{4}), x = arccot (\frac{11}{4}) + 18 0^{\circ}

Show solutions in decimal form

x = 0.34877 \dots, x = 0.34877 \dots + 18 0^{\circ}

sin (θ) + 0.755 = 0

- 4 cos^{2} (x) + 42 sin (x) + 6 = 0

sin (2 x - 1 0^{\circ}) = 0.4

\frac{1}{sin ^{2} ( x )} = 4

- 6 cos^{2} (θ) - 9 cos (θ) - 7 = 8 cos (θ)

What is the general solution for 4cot(x)=11,0<= x<360 ?
The general solution for 4cot(x)=11,0<= x<360 is x=0.34877…,x=0.34877…+180