Find all solutions of the following equation 2 3 + tan ⁡ θ = 3

Answer: 2 3 + tan ⁡ θ = 3 ⇒ tan ⁡ θ = 3 − 2 3 ⇒ tan ⁡ θ = 3 ( 1 − 2 ) ⇒ tan ⁡ θ = − 3 ⇒ tan ⁡ θ = tan ⁡ 2 π 3 ⇒ θ = 2 π 3 θ = 2 π 3 + n π

Expert Answer to "Find all solutions of the following equation 2..."

drogaid1d8

2022-11-18

Find all solutions of the following equation

2 \sqrt{3} + \tan θ = \sqrt{3}

mentest91k99

Beginner2022-11-19Added 17 answers

Answer:

2 \sqrt{3} + \tan θ = \sqrt{3} \Rightarrow \tan θ = \sqrt{3} - 2 \sqrt{3} \Rightarrow \tan θ = \sqrt{3} (1 - 2) \Rightarrow \tan θ = - \sqrt{3} \Rightarrow \tan θ = \tan \frac{2 π}{3} \Rightarrow θ = \frac{2 π}{3} θ = \frac{2 π}{3} + n π

Do you have a similar question?

Recalculate according to your conditions!

Didn't find what you were looking for?