Given : 17 cos θ = 15; find the value of tan θ + 2 sec θ.

Question

KnowledgeBoat · Accepted Answer

Given: 17 cos θ = 15 cos θ = ∴ If length of AC = 17x unit, length of AB = 15x unit. In Δ ABC, ⇒ AC2 = BC2 \+ AB2 (∵ AC is hypotenuse) ⇒ (17x)2 = BC2 \+ (15x)2 ⇒ 289x2 = BC2 \+ 225x2 ⇒ BC2 = 289x2 \- 225x2 ⇒ BC = ⇒ BC = 8x tan θ = sec θ = Now, tan θ + 2 sec θ Hence, tan θ + 2 sec θ = .

Mathematics

Given : 17 cos θ = 15; find the value of tan θ + 2 sec θ.

Trigonometric Identities

Related Questions

If tan A + cot A = 5; find the value of tan² A + cot² A.

Given : 4 sin θ = 3 cos θ; find the value of :
(i) sin θ
(ii) cos θ
(iii) cot² θ - cosec² θ
(iv) 4 cos² θ - 3 sin² θ + 2

Mathematics

Given : 17 cos θ = 15; find the value of tan θ + 2 sec θ.

Trigonometric Identities

Related Questions

If tan A + cot A = 5; find the value of tan2 A + cot2 A.

Given : 4 sin θ = 3 cos θ; find the value of :(i) sin θ(ii) cos θ(iii) cot2 θ - cosec2 θ(iv) 4 cos2 θ - 3 sin2 θ + 2

If tan A + cot A = 5; find the value of tan² A + cot² A.

Given : 4 sin θ = 3 cos θ; find the value of :
(i) sin θ
(ii) cos θ
(iii) cot² θ - cosec² θ
(iv) 4 cos² θ - 3 sin² θ + 2