Question

(tan + sec )(tan − sec )

Answer 1

Answer:

1

Step-by-step explanation:

(a+b)(a−b)=a²−b²

tan²(θ)+1=sec²(θ)

(sec(θ)+tan(θ))(sec(θ)−tan(θ))

   =sec²(θ)−tan²(θ)

   =(tan²(θ)+1)−tan²(θ)

   =1

Answer 2

Answer:

- 1

Step-by-step explanation:

( tan + sec ) ( tan − sec )

Formula / Identity : -

( a - b ) ( a + b ) = a^2 - b^2

Here,

a = tan

b = sec

( tan + sec ) ( tan − sec ) = tan^2 - sec^2

Formula : -

1 + tan^2 = sec^2

tan^2 - sec^2 = - 1