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 Let S be the sum of the first 10 terms of the series. tan–1 1 1 1 1 1 tan tan..... 3 7 13 − − + + + then, tan(S) is... English · EMRS PGT-2023 Q03 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 Q04 If 5(tan2 x – cos2 x) = 2cos 2x + 9, then he value of cos 4x is: English · EMRS PGT-2023 Q05 If |A|= 7, then the value of |2A|is (provided |A|is determinant of A) English · Bihar (TRE 2.0)-2023 Q06 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