JEE Main 2024 — Trigonometric Ratios & Identities Questions with Solutions

For α , β ∈ 0 , π 2 let 3 sin ( α + β ) = 2 sin ( α - β ) and a real number k be such that tan α = tan β . Then the val…

Let | θ (60-θ) (60+θ)| ≤ (1)/(8), θ ε[0,2 π]. Then, the sum of all θ ε[0,2 π], where 3 θ attains its maximum value, is :

If the value of 3 36ⁱrc+5 18ⁱrc5 36ⁱrc-3 18ⁱrc is a √(5)-bc, where a, b, c are natural numbers and gcd(a, c)=1, then a+…

If x=-(3)/(5), where π < x < (3 π)/(2), then 80 ( ² x- x ) is equal to

If tan A = 1 x x 2 + x + 1 , tan B = x x 2 + x + 1 and tan C = x − 3 + x − 2 + x − 1 1 2 , 0 < A , B , C < π 2 , then A…