If sec θ + tan θ = x, write the value of sec θ − tan θ in terms of x.
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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 is 1/x
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