Question

Lim delta menuju phi/2 (secara delta - tan delta)

Answer 1

Verified answer

Jawab

limit (θ→π/2)  (sec θ - tan θ)


sec θ - tan θ =  1/cos θ - sin θ/cos θ
sec θ - tan θ = (1 - sin θ) /(cos θ)

( 1- sin θ)/ (cos θ)  =
= (1 - sin θ)(1 + sin θ) /  cos θ ( 1 + sinθ)
= (1 - sin²  θ) / (cos θ)(1 + sin θ)
= cos θ / 1 + sin θ

θ = π/2
= cos π/2  / (  1 + sin π/2)
= 0 /(1+1)
= 0/2
= 0