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

The general solution for sec(x)sin(x)=2 is x=1.10714…+pin

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sec(x)sin(x)=2

sec (x) sin (x) = 2

x = 1.10714 \dots + πn

Solution steps

sec (x) sin (x) = 2

Rewrite using trig identities

tan (x) = 2

Apply trig inverse properties

x = arctan (2) + πn

Show solutions in decimal form

x = 1.10714 \dots + πn

sec (x) cot (x) = \frac{7}{6}

tan (x) cos (x) = 0

sin^{2} (x) - 3 sin (x) cos (x) + 2 cos^{2} (x) = 0

2 csc^{2} (x) - 2 csc (x) - 2 = 0

sin (t) = - \frac{2}{2}

What is the general solution for sec(x)sin(x)=2 ?
The general solution for sec(x)sin(x)=2 is x=1.10714…+pin