sin(x)= 4/(cos(x))

Solución

sin (x) = \frac{4}{cos ( x )}

Sin soluci \overset{o}{ˊ} n para x \in R

Pasos de solución

sin (x) = \frac{4}{cos ( x )}

Restar

\frac{4}{cos ( x )}

de ambos lados

sin (x) - \frac{4}{cos ( x )} = 0

Simplificar

sin (x) - \frac{4}{cos ( x )} : \frac{sin ( x ) cos ( x ) - 4}{cos ( x )}

\frac{sin ( x ) cos ( x ) - 4}{cos ( x )} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

sin (x) cos (x) - 4 = 0

Re-escribir usando identidades trigonométricas

- 4 + \frac{sin ( 2 x )}{2} = 0

Mover

4

al lado derecho

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

Multiplicar ambos lados por

2

sin (2 x) = 8

- 1 \leq sin (x) \leq 1

Sin soluci \overset{o}{ˊ} n para x \in R

tan^{3} (x) - 2 tan (x) = tan (x)

sin^{2} (x) + 2 cos^{2} (x) = 0

sin (x + 1 6^{\circ}) = cos (11 x + 2)

2 csc (θ) + 2 = 0

cos (x + 2 π) = 1 - cos (x - 2 π)