What is the general solution for sin(-x)=-1/3 ,tan(x)=-(sqrt(2))/4 ?

The general solution for sin(-x)=-1/3 ,tan(x)=-(sqrt(2))/4 is No Solution for x\in\mathbb{R}

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sin(-x)=-1/3 ,tan(x)=-(sqrt(2))/4

sin (- x) = - \frac{1}{3}, tan (x) = - \frac{2}{4}

No Solution for x \in R

Solution steps

sin (- x) = - \frac{1}{3}, tan (x) = - \frac{2}{4}

Apply trig inverse properties

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

Solve

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

Solve

- x = π + 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

tan (x) = - \frac{2}{4}

No Solution for x \in R

x, h = tan (x - \frac{π}{6})

sec (θ) + \frac{1}{cot ( θ )} = 1

(1 + 2 sin (2 θ))^{\frac{1}{3}} = 0

sin (\frac{x}{3}) cos (6 x) - cos (\frac{x}{3}) sin (6 x) = 0

6 sin (3 x) = 5

What is the general solution for sin(-x)=-1/3 ,tan(x)=-(sqrt(2))/4 ?
The general solution for sin(-x)=-1/3 ,tan(x)=-(sqrt(2))/4 is No Solution for x\in\mathbb{R}