What is the general solution for sin(2x+30)=0.8 ?

The general solution for sin(2x+30)=0.8 is x=-15+pin+(0.92729…)/2 ,x=pin+pi/2-(0.92729…)/2-15

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sin(2x+30)=0.8

sin (2 x + 30) = 0.8

x = - 15 + πn + \frac{0.92729 \dots}{2}, x = πn + \frac{π}{2} - \frac{0.92729 \dots}{2} - 15

Solution steps

sin (2 x + 30) = 0.8

Apply trig inverse properties

2 x + 30 = arcsin (0.8) + 2 πn, 2 x + 30 = π - arcsin (0.8) + 2 πn

Solve

2 x + 30 = arcsin (0.8) + 2 πn : x = - 15 + πn + \frac{arcsin ( 0.8 )}{2}

Solve

2 x + 30 = π - arcsin (0.8) + 2 πn : x = πn + \frac{π}{2} - \frac{arcsin ( 0.8 )}{2} - 15

x = - 15 + πn + \frac{arcsin ( 0.8 )}{2}, x = πn + \frac{π}{2} - \frac{arcsin ( 0.8 )}{2} - 15

Show solutions in decimal form

x = - 15 + πn + \frac{0.92729 \dots}{2}, x = πn + \frac{π}{2} - \frac{0.92729 \dots}{2} - 15

1 - 2 sin (x) = - 1

4 tan^{2} (x) + sec (x) = - 2 tan^{2} (x) + sec^{2} (x) - 3

sin (α) = 0, 8 y (α) α < 9 0^{\circ}, cos (α)

cos (θ) = \frac{2}{5}, tan (θ), 0 < θ < \frac{π}{2}, π < θ < 2 π

sin (θ) = \frac{13}{14}

What is the general solution for sin(2x+30)=0.8 ?
The general solution for sin(2x+30)=0.8 is x=-15+pin+(0.92729…)/2 ,x=pin+pi/2-(0.92729…)/2-15