What is the general solution for csc(θ)cos(θ)sin(θ)=1 ?

The general solution for csc(θ)cos(θ)sin(θ)=1 is No Solution for θ\in\mathbb{R}

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csc(θ)cos(θ)sin(θ)=1

csc (θ) cos (θ) sin (θ) = 1

No Solution for θ \in R

Solution steps

csc (θ) cos (θ) sin (θ) = 1

Subtract

1

from both sides

csc (θ) cos (θ) sin (θ) - 1 = 0

Rewrite using trig identities

- 1 + cos (θ) = 0

Move

1

to the right side

cos (θ) = 1

General solutions for

cos (θ) = 1

θ = 0 + 2 πn

Solve

θ = 0 + 2 πn : θ = 2 πn

θ = 2 πn

Since the equation is undefined for:

2 πn

No Solution for θ \in R

3 cos (x) + sin (2 x) = 0

tan (α) = 0.875

sin (x) = \frac{18}{31}

4 cos^{3} (x) - 3 cos (x) = - 0.7071

2 tan (x) = tan (2 x)

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