JEE Main 2022 Mathematics question
If the angle made by the tangent at the point (, ) on the curve x = 12(t + sin t cos t), y = 12(1 + sin , , with the positive x-axis is , then is equal to-
Answer: (3)
Solution
dy/dx = [24(1 + sin t)cos t]/[12(1 + cos 2t)] = (1 + sin t)/cos + t/2). The slope is $ (π /3) =
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