What is the general solution for tan(a)=sqrt(3),cos(a) ?

The general solution for tan(a)=sqrt(3),cos(a) is No Solution for a\in\mathbb{R}

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tan(a)=sqrt(3),cos(a)

tan (a) = 3, cos (a)

No Solution for a \in R

Solution steps

tan (a) = 3, cos (a)

General solutions for

tan (a) = 3

tan (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

a = \frac{π}{3} + πn

a = \frac{π}{3} + πn

Solutions for the range

cos (a)

No Solution for a \in R

2 sin (2 x) = cos (2 x)

sin (2 θ) = 3

1 2^{2} = 1 5^{2} + 2 0^{2} - 2 (15) (20) (cos (a))

0.428 = cos (1.57 \cdot x - π)

5 = 10 sin (a)

What is the general solution for tan(a)=sqrt(3),cos(a) ?
The general solution for tan(a)=sqrt(3),cos(a) is No Solution for a\in\mathbb{R}