SOLUTION: Please review my work for trigonometry THANKS? Find the exact values of each of the five trig values: tan(7π/2) tan(7π/2 - 2π/1) tan(7π/2 - 4π/2)

Algebra ->  Trigonometry-basics -> SOLUTION: Please review my work for trigonometry THANKS? Find the exact values of each of the five trig values: tan(7π/2) tan(7π/2 - 2π/1) tan(7π/2 - 4π/2)       Log On


   

Question 927346: Please review my work for trigonometry THANKS?
Find the exact values of each of the five trig values:
tan(7π/2)
tan(7π/2 - 2π/1)
tan(7π/2 - 4π/2)
tan(3π/2) = -1/0, undefined
sin(75π)
sin(5π-4π)
sin(π) = 0
sec(9π/4)
sec(9π/4 - 2π/1)
sec(9π/4 - 8π/4)
sec(π/4)
1/cos(π/4)
cos(π/4) = √(2)/2
sin(-π/6) = -1/2
Please look for any errors including illogical mathematical notion
THANK YOU!
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
tan(7π/2) =infinity

tan(7π/2 - 2π/1) =infinity

tan(7π/2 - 4π/2)= infinity
tan(3π/2)= infinity

sin(75π) =0
sin(5π-4π)=sin(π) =0
sin(π) = 0

sec(9π/4) =sec(3π/2) =infinity
sec(9π/4 - 2π/1)=sec(9π/4 - 8π/4)=sec(π/4)=sqrt%282%29%2F2+
sec(9π/4 - 8π/4)=sqrt%282%29%2F2+
sec(π/4) =sqrt%282%29%2F2+
1/cos(π/4) =sqrt%282%29

cos(π/4) = sqrt%282%29%2F2+
sin(-π/6) = -1%2F2