Mathematics
If sec θ + tan θ + 1 = 0, then sec θ − tan θ is equal to :
−1
0
1
2
Trigonometric Identities
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Answer
⇒ sec θ + tan θ + 1 = 0
⇒ sec θ + tan θ = -1
We know that,
⇒ sec2 θ - tan2 θ = 1
⇒ (sec θ + tan θ)(sec θ - tan θ) = 1
⇒ (-1)(sec θ - tan θ) = 1
⇒ sec θ - tan θ = -1
Hence, option 1 is the correct option.
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