If sin θ + cosec θ = 2, then sin3 θ + cosec3 θ is equal to : 1. 2 2. 2 sin θ 3. −2 sin θ 4. 2 cos θ

Question

KnowledgeBoat · Accepted Answer

sin θ + cosec θ = 2 Let, ⇒ sin θ = x ⇒ cosec θ = Hence, sin θ = 1 and cosec θ = 1 ⇒ sin3 θ + cosec3 θ ⇒ 13 + 13 ⇒ 2 Hence, option 1 is the correct option.

Mathematics

If sin θ + cosec θ = 2, then sin³ θ + cosec³ θ is equal to :
2
2 sin θ
−2 sin θ
2 cos θ

Trigonometric Identities

Related Questions

Mathematics

If sin θ + cosec θ = 2, then sin3 θ + cosec3 θ is equal to :22 sin θ−2 sin θ2 cos θ

Trigonometric Identities

Related Questions

If sin θ + cosec θ = 2, then sin³ θ + cosec³ θ is equal to :
2
2 sin θ
−2 sin θ
2 cos θ