Question

it's urgent answer this question​

Answer 1

tan^2 θ+sec θ = 5,

secθ=?

∵ tan^2 θ = sec^2θ−1

On putting this in equation,

(sec^2θ − 1) + secθ=5

⇒sec^2 θ + secθ − 6 = 0

⇒sec^2 θ+3 secθ − 2secθ − 6 = 0

⇒secθ (secθ + 3) − 2(secθ+3) = 0

⇒(secθ+3) (secθ−2) = 0

⇒ secθ= −3,2

⇒ secθ = 2

So, the answer is 2.

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