Question

If sec θ + tan θ = x, write the value of sec θ − tan θ in terms of x.

Answer 1

Answer:

The value of sec θ - tan θ is  1/x .

Step-by-step explanation:

Given : sec θ +  tan θ = x

By using an identity sec² θ  - tan² θ = 1

(sec θ + tan θ)  (sec θ - tan θ) = 1

[By using identity , a² - b² = (a + b) (a - b) ]

x (sec θ - tan θ) = 1

(sec θ - tan θ) = 1/x

Hence, the value of sec θ - tan θ is  1/x .

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Answer 2

Answer is 1/x

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