∠B is the right angle of a right angles triangle ABC. If tanA = 1, then 2sinACosA = ?

Question: ∠B is the right angle of a right angles triangle ABC. If tanA = 1, then 2sinACosA = ?

Solution:

দেওয়া আছে,
tanA = 1

ধরি,
বিপরীত বাহু = সন্নিহিত বাহু = a
অতিভুজ = √(a² + a²) = √2 a

∴ sinA = a/√2 a = 1/√2
cosA = a/√2 a = 1/√2

∴ 2sinACosA = 2 × (1/√2) × (1/√2)
= 2 × 1/2
= 1