What is the general solution for csc(2x)=2,x0<x<360 ?

The general solution for csc(2x)=2,x0<x<360 is No Solution for x\in\mathbb{R}

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csc(2x)=2,x0<x<360

csc (2 x) = 2, x 0^{\circ} < x < 36 0^{\circ}

No Solution for x \in R

Solution steps

csc (2 x) = 2, x \cdot 0^{\circ} < x < 36 0^{\circ}

General solutions for

csc (2 x) = 2

2 x = 3 0^{\circ} + 36 0^{\circ} n, 2 x = 15 0^{\circ} + 36 0^{\circ} n

Solve

2 x = 3 0^{\circ} + 36 0^{\circ} n : x = 1 5^{\circ} + 18 0^{\circ} n

Solve

2 x = 15 0^{\circ} + 36 0^{\circ} n : x = 7 5^{\circ} + 18 0^{\circ} n

x = 1 5^{\circ} + 18 0^{\circ} n, x = 7 5^{\circ} + 18 0^{\circ} n

Solutions for the range

x 0 < x < 36 0^{\circ}

No Solution for x \in R

tan (x) = \frac{6}{7}

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

10 cos (x) = 2.5 sin (x)

sin (0.6) - sin (0.6 + x) = 0.95

tan (x) = \frac{56}{91}

What is the general solution for csc(2x)=2,x0<x<360 ?
The general solution for csc(2x)=2,x0<x<360 is No Solution for x\in\mathbb{R}