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