if sec theta + tan theta = p then 1/p is equal to
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Answer:
the answer is (sec - tan)
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Given : secθ + tanθ = p
To Find : Value of 1/p
Solution:
Using identity
sec²θ = 1 + tan²θ
=> sec²θ- tan²θ = 1
using a² - b² = (a + b) (a - b)
=> (secθ + tanθ)(secθ - tanθ) = 1
=> p (secθ - tanθ) = 1
=> secθ - tanθ= 1/p
Hence Value of 1/p is secθ - tanθ
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