Question

if tan theta + sec theta is equal to L then find the value of tan theta and sec theta in terms of L​

Answer 1

Step-by-step explanation:

Given,

tanθ+secθ=l

tanθ=l−secθ

squaring on both sides, we get,

tan

2

θ=(l−secθ)

2

sec

2

θ−1=l

2

+sec

2

θ−2lsecθ

l

2

−2lsecθ=−1

l

2

+1=2lsecθ

⇒secθ=

2l

l

2

+1