If sec θ - cos θ = 14 and 14sec θ = x, then the value of x is _________.
Answer & explanation
Correct answer: option 1
sec θ - cos θ = 14
{ we know, cos θ = \(\frac{1}{ secθ}\) }
sec θ - \(\frac{1}{ secθ}\) = 14
sec²θ - 14 sec θ - 1 = 0
{ we know, sec²θ - tan²θ = 1 }
tan²θ = 14 sec θ -----(1)
ATQ,
14 sec θ = x ----(2)
From 1 and 2 .
x = tan²θ