Question

. If secθ + tanθ = m, then the value of secθ - tanθ in terms of m is *​

Answer 1

Answer:

ANSWER

secθ+tanθ=m.......(1)

Now sec

2

θ−tan

2

θ=1

⇒(secθ−tanθ)(secθ+tanθ)=1

⇒(secθ−tanθ)=

secθ+tanθ

1

⇒secθ−tanθ=

m

1

.....(2)

Adding (1) & (2)

2secθ=m+

m

1

⇒secθ=

2m

m

2

+1