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:
- 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
