Solve the equation by factoring. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)

2 cos(θ) tan(θ) − tan(θ) = 1 − 2 cos(θ)
θ = ?

Step-by-step explanation:

Trigonometric Equation

A trigonometric equation is any equation that contains one or more trigonometric functions. The solution of a trigonometric equation comes in the form of angles in radians or degrees.

Let's solve the equation

Factoring the left side of the equation by tan

Rearranging

Factoring again

We get two separate equations to solve

Solving the first equation

We get two solutions in the first rotation of

The general solution, being k any integer:

Solving the second equation

We also get two solutions in the first rotation of

The general solution, being k any integer:

The total solution is

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.