`("cos"^(4)(pi)/(24)-"sin"^(4)(pi)/(24))` equals :

cos^(4) ""(pi)/(12) - sin^(4)"" (pi)/(12) is equal to

Evalute : "sin"^(2)(pi)/(4) + "cos"^(2) (3pi)/(4)+"cos"^(2)(5pi)/(4)+"sin"^(2)(7pi)/(4).

sin ""(pi)/(4) cos ""(pi)/(12) - cos ""(pi)/(4) sin ""(pi)/(12) is equal to

2cos""(5pi)/(24).cos""(pi)/(24) = ……….

sin^(-1)(cos((5pi)/4)) is equal to

sin^(-1)(cos((5pi)/4)) is equal to

Let P=(("cos"(pi)/(4),-"sin"(pi)/(4)),("sin"(pi)/(4),"cos"(pi)/(4))) and X=(((1)/(sqrt(2))),((1)/(sqrt(2)))) . Then P^(3)X is equal to