If 1 + sin2θ - 3sinθcosθ = 0, then the value of cotθ is:

If 1 + sin²θ - 3sinθcosθ = 0, then the value of cotθ is:

$$\frac{1}{3}$$

$$\frac{1}{2}$$

If 1 + sin²θ - 3sinθcosθ = 0, then the value of cotθ is: Correct Answer 2

1 + sin²θ - 3sinθ.cosθ = 0
⇒ 1 - 2sinθ.cosθ = sinθ.cosθ - sin²θ
⇒ sin²θ + cos²θ - 2sinθ.cosθ = sinθ(cosθ - sinθ)
⇒ (cosθ - sinθ)² = sinθ(cosθ - sinθ)
⇒ cosθ - sinθ = sinθ
⇒ cosθ = 2sinθ
⇒ cotθ = 2

Bissoy MCQ Team

Dec 01, 2024

Arithmetic Ability
Trigonometry

If 1 + sin2θ - 3sinθcosθ = 0, then the value of cotθ is:

Related Questions

If 1 + sin²θ - 3sinθcosθ = 0, then the value of cotθ is: