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teachoo.com
Ex 2.1, 14 (MCQ) - Find value of tan-1 root 3 - sec-1 (-2) [Video]
Ex 2.1, 14 (Method 1)Find the value of tan−1 √3 – sec−1(–2) is equal to π (B) – π/3 (C) π/3 (D) 2π/3Solving tan−1 √𝟑Let y = tan−1 √3tan y = √3 tan y = tan (𝝅/𝟑)∴ y = 𝝅/𝟑 Since Range of tan−1 is ((−𝜋)/2,𝜋/2)Hence, principal value is π/3Solving sec−1 (–2)
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