What is the general solution for 7sec^3(x)+16sec^2(x)+11sec(x)+2=0 ?

The general solution for 7sec^3(x)+16sec^2(x)+11sec(x)+2=0 is x=pi+2pin

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7sec^3(x)+16sec^2(x)+11sec(x)+2=0

7 sec^{3} (x) + 16 sec^{2} (x) + 11 sec (x) + 2 = 0

x = π + 2 πn

Solution steps

7 sec^{3} (x) + 16 sec^{2} (x) + 11 sec (x) + 2 = 0

Solve by substitution

sec (x) = - 1, sec (x) = - \frac{2}{7}

sec (x) = - 1 : x = π + 2 πn

sec (x) = - \frac{2}{7} :

No Solution

Combine all the solutions

x = π + 2 πn

1 + sin (5 x) = 0

0 = \frac{π}{2} - 2 arctan (\frac{\frac{π}{2} - 2 - c}{\frac{π}{2} - c})

9 arcsin (x) = 3 π

2 sin (2 x + 10) - 3 = 0

cos (θ) = \frac{13}{6 \cdot 86}

What is the general solution for 7sec^3(x)+16sec^2(x)+11sec(x)+2=0 ?
The general solution for 7sec^3(x)+16sec^2(x)+11sec(x)+2=0 is x=pi+2pin