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Grade: 11

                        

If Pseca + qtana =1 and p 2 sec 2 a - q 2 tan 2 a =5 then find the value of (9p -2 - 4q -2 ).

2 years ago

Answers : (1)

Susmita
425 Points
							
pseca+qtana=1
Or,pseca=1-qtana
Take whole square on both side.
p2sec2a-q2tan2a=1-2qtana
or,5=1-2qtana
Or,-2qtana=4
Or,qtana=-2
Or,q=-2/tana
Put qtana=-2 in 1st equation.
pseca=1-qtana=3
Or,p=3/seca
So 9/p2-4/q2
=sec2a-tan2a=1
If it helps please approve.thanks.
 
2 years ago
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