What is the minimum value of tan θ + cot θ when θ is acute?
tan θ + cot θ का न्यूनतम मान क्या है जब θ acute हो?
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Correct Answer
B. 2 / 2
ExplanationStep 1: Let x = tan θ so cot θ = 1/x. Step 2: For x > 0 the minimum of x + 1/x is 2. Step 3: Remember from AM-GM that x + 1/x ≥ 2.
Step 1: मान लें x = tan θ तो cot θ = 1/x। Step 2: x + 1/x का minimum 2 होता है जब x > 0। Step 3: AM-GM से x + 1/x ≥ 2 याद रखें।