Draw the loci
` r = a sec theta `

Eliminate theta between the equation a sec theta + b tan theta + c=0 and p sec theta + q tan theta + r=0

Eliminate theta from the equations a sec theta+b tan theta+c=0 and p sec theta+q tan theta+r=0

If sec theta + tan theta = 12.5 , then sec theta - tan theta = ?

If sec theta + tan theta = 4 , then sec theta- tan theta =?

Prove that (1)/(sec theta - tan theta) = sec theta + tan theta

Prove that: 1/(sec theta - tan theta) = sec theta + tan theta .

Statement I If a, b,c, in R and not all equal, then sec theta=((bc+ca+ab))/((a^(2)+b^(2)+c^(2))) , Statement II sec theta le -1 and sec theta ge 1

If a sec theta+b tan theta+c=0 and p sec theta+q tan theta+r=0 prove that (br-qc)^(2)-(pc-ar)^(2)=(aq-bp)^(2)

If a sec theta+b tan theta+c=0 and p sec theta+q tan theta+r=0, prove that (br-qc)^(2)-(pc-ar)^(2)=(aq-bp)^(2)

Prove that: (sec theta - cos theta)(cot theta + tan theta) = tan theta sec theta .