Lv 195 points

# Mailiflower

Questions5
• ### This is a question that I just don't understand from my class. Its long so look in details?

1. A, B, and C are talking. A says something that we don't quite hear. But it is about whether he is a politician or a non-politician. You see Politicians lie every time they open their mouths. The non-politicians always speak the truth. B who has heard A says 'A says he is not a politician.' C then says A is a politician. How many of them are politicians and how many of them are non politicians?

• ### Write all trig functions in terms of sec x?

I understood when I had to find the functions in terms of sin x, but how do you get the functions of sec x??

• ### Verify the identities, manipulating only one side of the equation at a time. Use the abbreviations LHS and RHS for left and right hand side?

42) 1-csc(x)sin^3(x)=cos^2

43) (1+cot(alpha))^2- 2cot(alpha)= 1/ (1-cos(alpha))(1+cos(alpha))

44) 1-sin(x) = 1-sin^2(-x) / 1-sin(-x)

45) sinx / sinx+1 = cscx-1 / cot^2 x

46)cos(x- pi/2) = cosx tan x

47)sin(x- pi/2) = cos x

48) sin^4 (z) + cos^4(z) = 1

49) cos (alpha -beta) / sin(alpha + beta) = 1+ tan alpha tan beta / tan alpha - tan beta

for the life of me, I don't understand how to do these....