Question

If tanθ= cotθ and 0°≤ θ ≤ 90°, find the value of 'θ'.

Answer 1

tanθ = cotθ
⇒ tanθ = ${\displaystyle \frac{1}{\tan \theta }}$
⇒ tan² θ = 1
⇒ tanθ = 1
⇒ θ = 45°.