What is the general solution for 5-tan^2(x)=4,0<= x<= 360 ?

The general solution for 5-tan^2(x)=4,0<= x<= 360 is x=45,x=225,x=135,x=315

Popular >

5-tan^2(x)=4,0<= x<= 360

5 - tan^{2} (x) = 4, 0^{\circ} \leq x \leq 36 0^{\circ}

x = 4 5^{\circ}, x = 22 5^{\circ}, x = 13 5^{\circ}, x = 31 5^{\circ}

Solution steps

5 - tan^{2} (x) = 4, 0^{\circ} \leq x \leq 36 0^{\circ}

Solve by substitution

tan (x) = 1, tan (x) = - 1

tan (x) = 1, 0 \leq x \leq 36 0^{\circ} : x = 4 5^{\circ}, x = 22 5^{\circ}

tan (x) = - 1, 0 \leq x \leq 36 0^{\circ} : x = 13 5^{\circ}, x = 31 5^{\circ}

Combine all the solutions

x = 4 5^{\circ}, x = 22 5^{\circ}, x = 13 5^{\circ}, x = 31 5^{\circ}

- 2 tan (x) + 1 = 23 + 1

sin (x - \frac{π}{3}) = \frac{1}{2}

sec^{2} (x) - 1 \cdot sec^{2} (x) = sin^{2} (x)

\frac{17}{8} sin (82 x + 1.326) = 0

- 1 - 2 cos (x) = - cos (x)

What is the general solution for 5-tan^2(x)=4,0<= x<= 360 ?
The general solution for 5-tan^2(x)=4,0<= x<= 360 is x=45,x=225,x=135,x=315