Question

If son teta=3/5,then find the value of(tan teta+sec teta) 2

Answer 1

Answer:

4

Step-by-step explanation:

As sinΘ = 3/5

cos²Θ+sin²Θ = 1 (Identity)

⇒cos²Θ = 1-sin²Θ

⇒cos²Θ = 1-(3/5)²

⇒cos²Θ = 1- 9/25         ( 3² = 9, 5²=25)

⇒cos²Θ = 16/25

⇒cosΘ = √16/25

⇒cosΘ=4/5            (√16/25 =4/5)

Now,

(tanΘ + secΘ)2

=(sinΘ/cosΘ + 1/cosΘ)2

={(3/5)/(4/5) + 1/(4/5)}2

=(3/4 + 5/4)2

=(8/4)2

=2*2

=4