If tan theta= cot (30? + theta), find the value of theta
Dear Student,
Given: tan θ = cot (30° + θ) [ We know, tan θ = cot (90° – θ)]
⇒ cot (90° – θ) = cot (30° + θ)
⇒ 90° – θ = 30° + θ
⇒ θ + θ = 90° – 30°
⇒ 2θ = 60°
Regards
Given: tan θ = cot (30° + θ) [ We know, tan θ = cot (90° – θ)]
⇒ cot (90° – θ) = cot (30° + θ)
⇒ 90° – θ = 30° + θ
⇒ θ + θ = 90° – 30°
⇒ 2θ = 60°
Regards
