Given: 5 cos A - 12 sin A = 0; evaluate : sin A + cos A/2 cos A - sin A

Question

KnowledgeBoat · Accepted Answer

Given: 5 cos A - 12 sin A = 0 ⇒ 5 cos A = 12 sin A ⇒ ⇒ ∴ If length of BC = 5x unit, length of AB = 12x unit. In Δ ABC, ⇒ AC2 = BC2 \+ AB2 (∵ AC is hypotenuse) ⇒ AC2 = (5x)2 \+ (12x)2 ⇒ AC2 = 25x2 \+ 144x2 ⇒ AC2 = 169x2 ⇒ AC = ⇒ AC = 13x sin A = cos A = Now, Hence, .

Mathematics

Given: 5 cos A - 12 sin A = 0; evaluate : sin A + cos A/2 cos A - sin A

Trigonometric Identities

Related Questions

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

Mathematics

Given: 5 cos A - 12 sin A = 0; evaluate : sin A + cos A/2 cos A - sin A

Trigonometric Identities

Related Questions

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

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