1.

If X = tan40°, then the value of 2tan50º will be:1. 2/X2. 2X3. 1/X4. 1/2X

Answer» Correct Answer - Option 1 : 2/X

Given:

X = tan40°

Formula used:

tan (90° – θ) = cot θ 

cot θ = 1/tan θ

Calculation:

2tan50º

⇒ 2tan(90° – 40°)

⇒ 2 × cot 40° 

⇒ 2 × 1/tan 40° 

⇒ 2 × (1/X) = 2/X

∴ The value of 2tan50º is 2/X.



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