Without using a calculator, what is the exact value of

sec(arctan(12/5)) - sin(arccot(3/4))

2 answers

5, 12, 13 right triangle here
so sec = 1/cos = 13/5

then 3, 4 , 5
tan = 1/cot = 4/3
so sin = 4/5

so
13/5 - 4/5 = 9/5
ah come on