1.

If tan 4θ = cot (θ - 2) then find the value of 7θ?1. 102.2°2. 125.5°3. 118.3°4. 128.8°

Answer» Correct Answer - Option 4 : 128.8°

Given:

The given condition is tan 4θ = cot (θ - 2)

Formula Used:

Basic concept of trigonometric ratio and identities

We know that

tan θ = cot (90 – θ)

Calculation:

∵ Cot θ = tan (90 – θ)

∴ cot (90 – 4θ) = cot (θ - 2)

⇒ (90 – 4θ) = (θ - 2)

⇒ θ = 18.4°

Now, we have to find the value of 7θ = 7 × 18.4° = 128.8°

Hence, option (4) is correct



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