Question

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$(secθ + tanθ).(secθ - tanθ) =$
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Answer 1

Answer:

(sec θ + tan θ). (secθ - tanθ) = 1

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Step-by-step explanation:

(sec θ + tan θ). (secθ - tanθ)

Apply difference of two square rule:

(a+b)(a-b) = a² - b²

Well by applying rule:

We get

sec²θ - tan²θ

Use pythagorean identity:

sec²θ = tan²θ+1

Well

tan²θ+1 -tan²θ

Cancel tan²θ and - tan²θ

Answer is 1

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