What is the general solution for sec(3x)-csc(30)=0,(x+35)/5 ?

The general solution for sec(3x)-csc(30)=0,(x+35)/5 is No Solution for x\in\mathbb{R}

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sec(3x)-csc(30)=0,(x+35)/5

sec (3 x) - csc (3 0^{\circ}) = 0, \frac{x + 35}{5}

No Solution for x \in R

Solution steps

sec (3 x) - csc (3 0^{\circ}) = 0, \frac{x + 35}{5}

csc (3 0^{\circ}) = 2

sec (3 x) - 2 = 0

Move

2

to the right side

sec (3 x) = 2

General solutions for

sec (3 x) = 2

3 x = 6 0^{\circ} + 36 0^{\circ} n, 3 x = 30 0^{\circ} + 36 0^{\circ} n

Solve

3 x = 6 0^{\circ} + 36 0^{\circ} n : x = 2 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

Solve

3 x = 30 0^{\circ} + 36 0^{\circ} n : x = 10 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

x = 2 0^{\circ} + \frac{36 0 ^{\circ} n}{3}, x = 10 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

Solutions for the range

\frac{x + 35}{5}

No Solution for x \in R

4 cos (2 θ) - 10 cos (θ) + 14 = 7, 0 \leq θ < 36 0^{\circ}

x, Z = sin (x y^{2})

2 tan^{2} (θ) = 2

0 = (6 cos (30 t) + 2 sin (30 t))

- 2 sin (θ) = 2

What is the general solution for sec(3x)-csc(30)=0,(x+35)/5 ?
The general solution for sec(3x)-csc(30)=0,(x+35)/5 is No Solution for x\in\mathbb{R}