If 2 sin θ = x and x sec θ = 2 then find the value of 2tanθ + 1?1.

1.	If 2 sin θ = x and x sec θ = 2 then find the value of 2tanθ + 1?1. 12. 43. 34. √2
Answer» Correct Answer - Option 3 : 3 Given: It is given that 2 sin θ = x and x sec θ = 2 Formula Used: Basic concept of trigonometric ratio and identities We know that tanθ = sinθ/cosθ secθ = 1/cosθ Calculation: 2sinθ = x ∴ sinθ = x/2 And x secθ = 2 ∴ Secθ = 2/x ⇒ cosθ = x/2 Now, we have to find the value of 2tanθ + 1 = 2(sinθ/cosθ) + 1 Put the value of sin θ and cos θ in the given expression ∴ 2[(x/2)/(x/2)] + 1 = 2 + 1 = 3 Hence, option (3) is correct

If 2 sin θ = x and x sec θ = 2 then find the value of 2tanθ + 1?1. 12. 43. 34. √2

Answer» Correct Answer - Option 3 : 3

Given:

It is given that 2 sin θ = x and x sec θ = 2

Formula Used:

Basic concept of trigonometric ratio and identities

We know that

tanθ = sinθ/cosθ

secθ = 1/cosθ

Calculation:

2sinθ = x

∴ sinθ = x/2

And x secθ = 2

∴ Secθ = 2/x

⇒ cosθ = x/2

Now, we have to find the value of 2tanθ + 1 = 2(sinθ/cosθ) + 1

Put the value of sin θ and cos θ in the given expression

∴ 2[(x/2)/(x/2)] + 1 = 2 + 1 = 3

Hence, option (3) is correct