Question

eliminate a from the following x=seca+tana y= seca-tana​

Answer 1

Answer:

x=2secA+3tanA y=3secA−2tanA

2x+3y=2(2secA+3tanA)+3(3secA−2tanA)

= 4secA+6tanA+9secA−6tanA

= 13secA...(1)

3x−2y=3(2secA+3tanA)−2(3secA−2tanA)

= 6secA+9tanA−6secA+4tanA

= 13tanA...(2)

(1) & (2)

13

2

(sec

2

A−tan

2

A)=(2x+3y)

2

−(3x−2y)

2

169(1)=4x

2

+9y

2

+12xy−9x

2

−4y

2

+12xy

⇒5y

2

−5x

2

+24xy=169