Question

3. If 2 cos 0 = V3 , then find all the trigonometric ratios of angle .​

Answer 1

Answer:

sinθ = 1/2

cosθ = √3/2

tanθ = 1/√3

cosecθ = 2

secθ = 2/√3

cotθ = √3

Step-by-step explanation:

2cosθ = √3

cosθ = √3/2

Let us assume a right triangle, ABC

IN Δ ABC , AB = √3 , AC = 2,  so

⇒ (AB)² + (BC)² = (AC)²

⇒3 + (BC)² = 4

⇒ (BC)² = 1

⇒ BC = 1CM

sinθ = 1/2

cosθ = √3/2

tanθ = 1/√3

cosecθ = 1/sinθ = 2

secθ = 1/cosθ = 2/√3

cotθ = 1/tanθ = 1/tanθ = √3

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