What is the general solution for sin(x)=0.37,pi<x< pi/2 ?

The general solution for sin(x)=0.37,pi<x< pi/2 is No Solution for x\in\mathbb{R}

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sin(x)=0.37,pi<x< pi/2

sin (x) = 0.37, π < x < \frac{π}{2}

No Solution for x \in R

Solution steps

sin (x) = 0.37, π < x < \frac{π}{2}

Apply trig inverse properties

sin (x) = 0.37

General solutions for

sin (x) = 0.37

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

x = arcsin (0.37) + 2 πn, x = π - arcsin (0.37) + 2 πn

x = arcsin (0.37) + 2 πn, x = π - arcsin (0.37) + 2 πn

Solutions for the range

π < x < \frac{π}{2}

No Solution for x \in R

5 cot (x) + 3 tan (x) = 8

sin (2 x) - 1 = cos (2 x), \forall 0 \leq θ < 2 π

tan (θ) = \frac{14}{20}

2 cos^{2} (2 θ) + sin (2 θ) = 1, - 18 0^{\circ} \leq θ \leq 18 0^{\circ}

3 cos (4 x) - 2 = \frac{3}{2} sin (8 x) - 2

What is the general solution for sin(x)=0.37,pi<x< pi/2 ?
The general solution for sin(x)=0.37,pi<x< pi/2 is No Solution for x\in\mathbb{R}