Question

If sec theata + tan theata = x find the value of sec theata - tan theata

Answer 1

Answer:

this is the correct answer so

Answer 2

Solution

We already know that

→ sec²∅ - tan²∅ = 1

Also, a² - b² = (a + b)(a - b)

Similarly,

→ sec²∅ - tan²∅ = (sec∅ + tan∅)(sec∅ - tan∅)

Here, (sec∅ + tan∅)(sec∅ - tan∅) = 1

Given: sec∅ + tan∅

On substituting values we get,

→ x(sec∅ - tan∅) = 1

→ sec∅ - tan∅ = 1/x

Therefore answer is 1/x.