What is the general solution for sin(x)= 3/5 , pi/2 <= x<= pi ?

The general solution for sin(x)= 3/5 , pi/2 <= x<= pi is x=pi-0.64350…

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sin(x)= 3/5 , pi/2 <= x<= pi

sin (x) = \frac{3}{5}, \frac{π}{2} \leq x \leq π

x = π - 0.64350 \dots

Degrees

x = 143.13010 \dots^{\circ}

Solution steps

sin (x) = \frac{3}{5}, \frac{π}{2} \leq x \leq π

Apply trig inverse properties

sin (x) = \frac{3}{5}

General solutions for

sin (x) = \frac{3}{5}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

x = arcsin (\frac{3}{5}) + 2 πn, x = π - arcsin (\frac{3}{5}) + 2 πn

x = arcsin (\frac{3}{5}) + 2 πn, x = π - arcsin (\frac{3}{5}) + 2 πn

Solutions for the range

\frac{π}{2} \leq x \leq π

x = π - arcsin (\frac{3}{5})

Show solutions in decimal form

x = π - 0.64350 \dots

2 sin^{2} (θ) + cos (θ) = 2

x, - 31 y = sin (x)

x, sin (3 x) = 1

cos (2 θ) - sin (2 θ) = 0

2 sin (x) \cdot cos (x) = cos (x)

What is the general solution for sin(x)= 3/5 , pi/2 <= x<= pi ?
The general solution for sin(x)= 3/5 , pi/2 <= x<= pi is x=pi-0.64350…