Question

if tan A = 4/5 find the values of all t ratios of all T-ratios of angle A​

Answer 1

Answer:

cos θ = 4545 And we know that, sin θ = √(1 – cos2 θ) ⇒ sin θ = √(1 – (4545)2) = √(1 – (16251625)) = √[(25–16)25(25–16)25] = √(925925) = 3535 ∴ sin θ =3535 Since, cosec θ = 1sinθ1sinθ = 1(3/5)1(3/5) ⇒ cosec θ = 5353 And, sec θ = 1cosθ1cosθ = 1(4/5)1(4/5) ⇒ cosec θ = 5454 Now, tan θ = sinθcosθsinθcosθ = (3/5)(4/5)(3/5)(4/5) ⇒ tan θ = 3434 And, cot θ = 1tanθ1tanθ = 1(3/4)1(3/4) ⇒ cot θ = 43