What is the general solution for sin(B)= 1/2 ,a=170 ?

The general solution for sin(B)= 1/2 ,a=170 is No Solution for B\in\mathbb{R}

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sin(B)= 1/2 ,a=170

sin (B) = \frac{1}{2}, a = 170

No Solution for B \in R

Solution steps

sin (B) = \frac{1}{2}, a = 170

General solutions for

sin (B) = \frac{1}{2}

sin (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

B = \frac{π}{6} + 2 πn, B = \frac{5 π}{6} + 2 πn

B = \frac{π}{6} + 2 πn, B = \frac{5 π}{6} + 2 πn

Solutions for the range

a = 170

No Solution for B \in R

sin (x - \frac{5 π}{3}) + sin (x + \frac{5 π}{3}) = 1

- sec (\frac{x}{2}) = 2 csc (\frac{x}{2})

sec^{2} (θ) - sec (θ) = 2, θ [0, \frac{π}{2}]

x, sin (x) = - 0.5

tan (2 θ) = 1, 0 \leq θ \leq 2 π

What is the general solution for sin(B)= 1/2 ,a=170 ?
The general solution for sin(B)= 1/2 ,a=170 is No Solution for B\in\mathbb{R}