What is the general solution for (cos(x))/(sin(x))=2 ?

The general solution for (cos(x))/(sin(x))=2 is x=0.46364…+pin

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(cos(x))/(sin(x))=2

\frac{cos ( x )}{sin ( x )} = 2

x = 0.46364 \dots + πn

Degrees

x = 26.56505 \dots^{\circ} + 18 0^{\circ} n

Solution steps

\frac{cos ( x )}{sin ( x )} = 2

Rewrite using trig identities

\frac{cos ( x )}{sin ( x )}

Use the basic trigonometric identity:

\frac{cos ( x )}{sin ( x )} = cot (x)

= cot (x)

cot (x) = 2

Apply trig inverse properties

cot (x) = 2

General solutions for

cot (x) = 2

cot (x) = a \Rightarrow x = arccot (a) + πn

x = arccot (2) + πn

x = arccot (2) + πn

Show solutions in decimal form

x = 0.46364 \dots + πn

θ, 2 cos^{2} (θ) + 9 cos (θ) - 5 = 0

tan (3 x) = - 3, 0 \leq x \leq 2 π

5 cos (θ) = - 3

sec^{2} (x) - sec (x) = 0

4 cos^{2} (x) - 2 cos (x) - 3 = 0

What is the general solution for (cos(x))/(sin(x))=2 ?
The general solution for (cos(x))/(sin(x))=2 is x=0.46364…+pin