Question

If tan theta=√3, find the value of 1+sec theta.​

Answer 1

Step-by-step explanation:

Trigonometric identity

sec

2

θ−tan

2

θ=1

∴sec

2

θ=1+tan

2

θ=1+(

3

)

2

=1+3=4

⇒secθ=2.

solution

Answer 2

Tan Theta=√3.

Tan Theta=Tan 60°.

Theta=60°.

Finding the Value of the Given Expression:

1+sec Theta.

Putting the Value of the Theta.

=1+sec 60°.

=1+2.

=3.