Math Chapter Wise question with answer

Q01 Let fk (x) = 1 k (sink x + cosk x) for k = 1, 2, 3... Then, for all x∈ R, the value of f4(x) – f6(x) is: English · EMRS PGT-2023 Q02 If cos(α + β) = 4 5 and sin (α – β) = 5, 13 where 0 ≤ α, β ≤ ' 4 π then tan 2α is equal to: English · EMRS PGT-2023 Q03 The value of the expression sin6 θ cos6 θ + 3sin2 θ cos2 θ is English · Bihar (TRE 2.0)-2023 Q04 If sin-1 x+sin-1 y= π, 2 then the value of cos-1 x + cos-1 y is English · Bihar (TRE 2.0)-2023 Q05 If π x -, 2 2 ∈ then the value of sin-1 (cosx) is English · Bihar (TRE 2.0)-2023 Q06 If cos x = a, b then sinx is English · Bihar (TRE 2.0)-2023