If tanθ=1, find sinθ+cosθ.
Show answer & explanation
Correct answer: A
Explanation
Given:
tanθ = 1
According to the formula:
tanθ = sinθ / cosθ
sinθ / cosθ = 1
sinθ = cosθ
Based on standard angles:
θ = 45°
sin45° = √2 / 2
cos45° = √2 / 2
sinθ + cosθ
= √2/2 + √2/2
= √2