Question

2) If tan 0 = 2, then find sec 0.​

Answer 1

We know that opposite of tan0 is cot0

Now,

If Tan0=2

So,Coto=1/2

As we know that Coto=coseco/coso

So, coseco=1 and seco=2

Answer 2

Given:

tan Θ = 2

To FinD:

sec Θ ?

Step-by-Step Explanation:

Here we have two types of trigonometric ratios: tan Θ and sec Θ. We know about their relation:

sec² Θ - tan² Θ = 1

Or

sec² Θ = 1 + tan² Θ

So, let's find arrange the given to get the value of sec Θ:

➛ tan Θ = 2

Squaring both sides,

➛ tan² Θ = 4

Adding one to both sides of the eq.

➛ 1 + tan² Θ = 5

➛ sec² Θ = 5

Square-rooting both sides,

➛ sec Θ = ± √5