Question

If a = tan θ and b = sec θ, the relation between a and b is ______.

Options

• a × b = 1

• a² − b² = 1

• b² − a² = 1

• a² + b² = 1

Answer 1

If a = tan θ and b = sec θ, the relation between a and b is b² − a² = 1.

Explanation:

Substituting value of a and b in L.H.S. of option 3, we get:

⇒ b² − a²

⇒ sec² A − tan² A

⇒ 1

Since, L.H.S. = R.H.S.