Given : sin θ = p/q, find cos θ + sin θ in terms of p and q.

Question

KnowledgeBoat · Accepted Answer

Given: sin θ = i.e. ∴ If length of BC = px unit, length of AC = qx unit. In Δ ABC, ⇒ AC2 = BC2 \+ AB2 (∵ AC is hypotenuse) ⇒ (qx)2 = (px)2 \+ AB2 ⇒ AB2 = q2x2 - p2x2 ⇒ AB = ⇒ AB = () x cos θ = Now, Hence, cos θ + sin θ = .

Mathematics

Given : sin θ = p/q, find cos θ + sin θ in terms of p and q.

Trigonometric Identities

Related Questions

Given : cos A = 0.6; find all other trigonometrical ratios for angle A.