Question

If tan teta + Sec tetà=2/3.Then sec teta = ?

Answer 1

Step-by-step explanation:

• Pls check if it is correct or not

Answer 2

tan θ + sec θ = 2/3 ... (1)

In trigonometry,

sec²θ - tan²θ = 1

(sec θ - tan θ)(sec θ + tan θ ) = 1          [ a² - b² = (a+b)(a-b) ]

(secθ - tanθ) * 2/3 = 1

sec θ - tan θ = 3/2 .... (2)

adding (1) and (2),

we get :

2sec θ = 2/3 + 3/2

sec θ = 13/12