Given that sin θ = a/b, then cos θ is equal to: 1. 2. 3. 4.

Question

KnowledgeBoat · Accepted Answer

Let ABC be a right angle triangle with ∠B = 90° and ∠C = θ. By formula, Substituting values we get : Let AB = ak and AC = bk. In right angle triangle ABC, ⇒ AC2 = AB2 + BC2 ⇒ (bk)2 = (ak)2 + BC2 ⇒ b2k2 = a2k2 + BC2 ⇒ BC2 = b2k2 - a2k2 ⇒ BC = k By formula, Hence, option 4 is the correct option.

Mathematics

Given that sin θ = a/b, then cos θ is equal to: 1. 2. 3. 4.

Trigonometric Identities

Related Questions

The value of (1 + tan²θ)(1 − sin θ)(1 + sin θ) is:
0
1
sec²θ sin²θ
cot²θ

Mathematics

Given that sin θ = a/b, then cos θ is equal to: 1. 2. 3. 4.

Trigonometric Identities

Related Questions

The value of (1 + tan2θ)(1 − sin θ)(1 + sin θ) is:01sec2θ sin2θcot2θ

The value of (1 + tan²θ)(1 − sin θ)(1 + sin θ) is:
0
1
sec²θ sin²θ
cot²θ