Question

Cos 60* + sin 30* - cot 30* / tan 60* + sec 45* - cosec 45*

Answer 1

cos60=sin(90-60)=sin30
cosec45=sec(90-45)=sec45

therefore,
sin30+sin30-(cot30/tan60)+sec45+sec45
by substituting trigonometry table values we get,
2(sin30)-(√3/ √3)+2(sec45)
2(1/2)-1+2(√2)
1-1+2√2
2√2