Math Chapter Wise question with answer

Q01 If sin (θ + iφ) = tanα + i secα then cos 2θ cosh 2φ is equal to – English · UP PGT 2021 Q02 If x = log (secθ + tanθ), then cosh x is equal to– English · UP PGT 2021 Q03 If u logtan, 4 2 π θ = + then cos h u = English · PGT 2002 Q04 Consider the following statements – I: d dx sech x= sech x tanh x II: d dx sinh–1 x = 2 1 x +1 English · UP PGT 2021 Q05 (())) ((()) Z 1 1 tan tan − − + = + + = + + = + + = + x h x h sin (()) 2 1 2 + + sinZ sin Z h sin Z (()) sin Z 3 3.... English · PGT 2013 Q06 For all () ∈ –1 x –1,1,tanh x is equal to English · UP TGT 2021