JEE Main 2026 Mathematics question
Let α = 3 sin⁻¹(6/11) and β = 3 cos⁻¹(4/9), where inverse trigonometric functions take only the principal values. Given below are two statements: Statement I: cos(α + β) > 0. Statement II: cos(α) < 0. In the light of the above statements, choose the correct answer from the options given below:
Answer: (A)
Solution
sin⁻¹(6/11)≈0.577 rad, so α≈1.731 rad (in (π/2,π)) and cosα≈−0.159<0 (Statement II true).
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