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Mathematics

If sec θ. sin θ = 0, then the value of cos θ is

  1. 0

  2. 12\dfrac{1}{\sqrt{2}}

  3. 12\dfrac{1}{2}

  4. 1

Trigonometrical Ratios

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Answer

Given,

⇒sec θ. sin θ = 0⇒1cos θ×sin θ=0⇒tan θ=0⇒θ=0°.\Rightarrow \text{sec θ. sin θ = 0} \\[1em] \Rightarrow \dfrac{1}{\text{cos θ}} \times \text{sin θ} = 0 \\[1em] \Rightarrow \text{tan θ} = 0 \\[1em] \Rightarrow θ = 0°.

⇒ cos θ = cos 0° = 1.

Hence, Option 4 is the correct option.

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