Question

prove that cos alpha × cosec alpha×√sec alpha-1=1​

Answer 1

secα+cosecα=−(−p)=p

Alsosecαcosecα=q

⇒sinαcosα=1q

From (1) and (2)

sinα+cosα=psinαcosα=pq

squaring, we get

1+2sinαcosα=p2q2⇒1+2q=p2q2

⇒p2=q(q+2)