What is the general solution for sin(x)= 1/3 ,cos(x) ?

The general solution for sin(x)= 1/3 ,cos(x) is No Solution for x\in\mathbb{R}

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sin(x)= 1/3 ,cos(x)

sin (x) = \frac{1}{3}, cos (x)

No Solution for x \in R

Solution steps

sin (x) = \frac{1}{3}, cos (x)

Apply trig inverse properties

sin (x) = \frac{1}{3}

General solutions for

sin (x) = \frac{1}{3}

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

x = arcsin (\frac{1}{3}) + 2 πn, x = π - arcsin (\frac{1}{3}) + 2 πn

x = arcsin (\frac{1}{3}) + 2 πn, x = π - arcsin (\frac{1}{3}) + 2 πn

Solutions for the range

cos (x)

No Solution for x \in R

6 - 5 tan (3 x + 1) = 26

sec (2 x - 1 0^{\circ}) = csc (3 2^{\circ})

(5 tan (θ) + 25) = 0

4 = cos (x)

x, e^{4 y} = cos (4 x + y)

What is the general solution for sin(x)= 1/3 ,cos(x) ?
The general solution for sin(x)= 1/3 ,cos(x) is No Solution for x\in\mathbb{R}