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teachoo.com
Find: tan-1 root 3 - cot-1 (- root 3) - Inverse Trigo MCQ - Teachoo
Ex 2.2, 15Find value of : tan−1 √3 – cot−1 (−√3)Finding tan−1 √𝟑Let y = tan−1 √3tan y = √3 tan y = tan (𝝅/𝟑)∴ y = 𝝅/𝟑Since range of tan-1 is ((−π)/2,π/2)Hence, Principal Value is 𝝅/𝟑∴ tan−1 √3 = π/3Finding cot−1 (−√𝟑)Let x = cot−1 (√3) x = 𝜋 − cot−1 (√3)
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