What is the general solution for sin(x)cot(x)=1 ?

The general solution for sin(x)cot(x)=1 is No Solution for x\in\mathbb{R}

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sin(x)cot(x)=1

sin (x) cot (x) = 1

No Solution for x \in R

Solution steps

sin (x) cot (x) = 1

Subtract

1

from both sides

sin (x) cot (x) - 1 = 0

Rewrite using trig identities

- 1 + cos (x) = 0

Move

1

to the right side

cos (x) = 1

General solutions for

cos (x) = 1

x = 0 + 2 πn

Solve

x = 0 + 2 πn : x = 2 πn

x = 2 πn

Since the equation is undefined for:

2 πn

No Solution for x \in R

sin (θ) = 0.4484

sin (5 x - 28) = cos (3 x - 50)

sin (x) - 1 - 3 sin^{2} (x) = 0

2 cos^{2} (x) + 2 cos (x) - 3 = 0

sec^{2} (x) cot (x) = 8, 0 < x < π

What is the general solution for sin(x)cot(x)=1 ?
The general solution for sin(x)cot(x)=1 is No Solution for x\in\mathbb{R}