CBSE Class 12 Sample Paper for 2026 Boards
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CBSE Class 12 Sample Paper for 2026 Boards
Last updated at Sept. 2, 2025 by Teachoo
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Transcript
Question 21 (B) Find the domain of cos^(−1) (3𝑥−2)For 〖𝒄𝒐𝒔〗^(−𝟏) 𝒂 Domain = All possible values of a = [–1, 1] Range = All possible values of 〖𝑐𝑜𝑠〗^(−1) 𝑎 = [0, 𝝅] Now, Domain of cos^(−1) (3𝑥−2) is –1 ≤ 3x – 2 ≤ 1 Adding 2 all sides –1 + 2 ≤ 3x – 2 + 2 ≤ 1 + 2 1 ≤ 3x ≤ 3 Diving by 3 all sides 1/3 ≤ 3𝑥/3 ≤ 3/3 Diving by 3 all sides 1/3 ≤ 3𝑥/3 ≤ 3/3 𝟏/𝟑 ≤ 𝒙 ≤ 1 Thus, domain is [𝟏/𝟑,𝟏]
