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teachoo.com
Ex 2.1, 11 - Find value tan-1 (1) + cos-1 (-1/2) + sin-1 (-1/2)
Ex 2.1, 11 (Method 1)Find the value of tan−1 (1) cos−1 (−1/2) sin-1 (−1/2)Solving tan−1 (1) Let y = tan−1 (1) tan y = 1 tan y = tan (𝝅/𝟒) ∴ y = 𝝅/𝟒Since Range of tan−1 is (−π/2,π/2) Hence, the Principal Value is 𝝅/𝟒Solving cos−1 ((−𝟏)/𝟐)Let y = cos−1 ((−1)/2)
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