Question

If sec theta + tan theta = 1/3, then sec theta​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:-

Given:

sec θ + tan θ = 1/3 -- equation (1).

We know that,

sec² θ - tan² θ = 1

• a² - b² = (a + b)(a - b).

So,

(sec θ + tan θ)(sec θ - tan θ) = 1

Substitute the value of sec θ + tan θ from equation (1).

⟶ 1/3 * (sec θ - tan θ) = 1

⟶ sec θ - tan θ = 3 -- equation (2)

Add equations (1) & (2).

⟶ sec θ + tan θ + sec θ - tan θ = 1/3 + 3

⟶ 2 * sec θ = (1 + 9)/3

⟶ sec θ = (10/3) * (1/2)

⟶ sec θ = 5/3