cos θ = 1

How to find the general solution of an equation of the form cos θ = 1?

Prove that the general solution of cos θ = 1 is given by θ = 2nπ, n ∈ Z.

Solution:

We have,

cos θ = 1       

⇒ cos θ = cos 0°

⇒ θ = 2nπ ± 0°, n ∈ Z, [Since, the general solution of cos θ = cos ∝ is given by θ = 2nπ ± ∝, n ∈ Z.]

⇒ θ = 2nπ, n ∈ Z

Hence, the general solution of cos θ = 1 is θ = 2nπ, n ∈ Z.





















11 and 12 Grade Math

From cos θ = 1 to HOME PAGE


New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.



Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.