यदि sin θ = \(\frac{3}{{ 5 }}\) है, तो tan θ का मान क्या है?

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SSC CGL 2022 Tier-I Official Paper (Held On : 07 Dec 2022 Shift 3)
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  1. \(\frac{3}{{ 5 }}\)
  2. \(\frac{4}{{ 3 }}\)
  3. \(\frac{4}{{ 5 }}\)
  4. \(\frac{3}{{ 4 }}\)

Answer (Detailed Solution Below)

Option 4 : \(\frac{3}{{ 4 }}\)
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गणना:

प्रश्न के अनुसार,

Sin θ = 3/5

तो, tan θ

= Sin θ/[√(1 - sin²θ)]

= (3/5)/[√(1 - (3/5)²)]

= (3/5)/√(16/25)

= (3/5)/(4/5)

= 3/4

इसलिए, अभीष्ट मान 3/4 है।

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