What is the general solution for 3/2 sec(x)=3 ?

The general solution for 3/2 sec(x)=3 is x= pi/3+2pin,x=(5pi)/3+2pin

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3/2 sec(x)=3

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

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

Solution steps

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

Multiply both sides by

2

3 sec (x) = 6

Divide both sides by

3

sec (x) = 2

General solutions for

sec (x) = 2

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

9 (cos (a))^{2} - 9 (sin (a))^{2} = 0

1 - 2 cos^{2} (x) = 0, 0 \leq x \leq 2 π

2 sin (x - 2 0^{\circ}) + 1 = 0

9.2 cos (x) = 6.3

sec (x) + 3 tan (x) = 1 + 2 tan (x)

What is the general solution for 3/2 sec(x)=3 ?
The general solution for 3/2 sec(x)=3 is x= pi/3+2pin,x=(5pi)/3+2pin