If sec θ + tan θ = p , (p > 1), then
=?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. p²
we know that
sec²θ - tan²θ = 1 →eq1
(secθ - tanθ)(secθ + tan θ ) = 1
→ eq 2
Now,
→ eq 3
Now,
secθ + tanθ = p
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(1 + sinθ) = p cosθ →eq 4
(1 - sinθ) = cosθ/p →eq 5
Putting values of eq4 and eq5 in eq 3:
