Please solve q 35? Actually I can't understand the step that is tick marked

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1 Answer
Mar 22, 2018

See a process below...

Explanation:

Given are two equations..

#color(blue)(a sec theta+btan theta+c=0##" "circ1#

#color(blue)(p sec theta+qtan theta+r=0##" "circ2#

Multiply #p# to first equation (elimination method)

#color(green)(ap sec theta+bptan theta+cp=0##" "circ3#

Multiply #a# to second equation...
#color(green)(pa sec theta+qatan theta+ra=0##" "circ4#

Subtract #circ4# from #circ3#...
We get
#tantheta=(ar-cp)/(bp-aq)#

Similarly find value of #sectheta#

Using #sec^2theta-tan^2theta=1# it can be solved...

Since it's already in the pic in question.. I'm leaving it....