What is the general solution for sec^2(x)= 4/3 ,0<= x<= 2pi ?

The general solution for sec^2(x)= 4/3 ,0<= x<= 2pi is x= pi/6 ,x=(11pi)/6 ,x=(5pi)/6 ,x=(7pi)/6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sec^2(x)= 4/3 ,0<= x<= 2pi

sec^{2} (x) = \frac{4}{3}, 0 \leq x \leq 2 π

x = \frac{π}{6}, x = \frac{11 π}{6}, x = \frac{5 π}{6}, x = \frac{7 π}{6}

Solution steps

sec^{2} (x) = \frac{4}{3}, 0 \leq x \leq 2 π

Solve by substitution

sec (x) = \frac{2 3}{3}, sec (x) = - \frac{2 3}{3}

sec (x) = \frac{2 3}{3}, 0 \leq x \leq 2 π : x = \frac{π}{6}, x = \frac{11 π}{6}

sec (x) = - \frac{2 3}{3}, 0 \leq x \leq 2 π : x = \frac{5 π}{6}, x = \frac{7 π}{6}

Combine all the solutions

x = \frac{π}{6}, x = \frac{11 π}{6}, x = \frac{5 π}{6}, x = \frac{7 π}{6}

3 tan (3 θ) - 1 = 0

2 tan (x) = sec (x)

cos (x) = 2 π

sin (6 x) + sin (2 x) = 0

cos (a) = - \frac{1}{2}

What is the general solution for sec^2(x)= 4/3 ,0<= x<= 2pi ?
The general solution for sec^2(x)= 4/3 ,0<= x<= 2pi is x= pi/6 ,x=(11pi)/6 ,x=(5pi)/6 ,x=(7pi)/6