Find the exact value of sec 60°tan135°-cot60°sin60°

Answer 1

That can be calculated without a 'calculator' or trig tables.
sec 60 = 1/cos 60 = 1/(1/2) = 2
tan 135 = -tan 45 = -1
cot 60 = tan 30 = 1/sqrt3
sin 60 = (sqrt3)/2
Do the calculation.