JEE Main 2024 Mathematics question

MathematicsTrigonometric Ratio and IdentitiesJEE Main 2024

If sin x = −, where π < x < , then 80(tan²x − cos x) is equal to:

Answer: (A)

Solution

cos x = −4/5 and tan x = 3/4, so 80(9/16 + 4/5) = 45 + 64 = 109.

Question ID VK-012368