Question

Evaluate: cos54°cosec36°+ tan30°sin60+° sec60°sin30° +cosec45°cos45° +cos30°cot60°

Answer 1

Answer:

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