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3 years ago

(tan + sec )(tan − sec )

Mathematics

2 answers:

mr_godi [17]3 years ago

8 0

Answer:

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)

Gala2k [10]3 years ago

3 0

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

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