kaitlincrist20 kaitlincrist20

02-02-2020
Mathematics

contestada

(1-cos^2x)(1+tan^2x)=tan^2x

Respuesta :

jimrgrant1 jimrgrant1

02-02-2020

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

1 + tan²x = sec²x

1 - cos²x = sin²x and sec x = [tex]\frac{1}{cosx}[/tex]

Consider the left side

(1 - cos²x)(1 + tan²x)

= sin²x × sec²x

= sin²x × [tex]\frac{1}{cos^2x}[/tex]

= [tex]\frac{sin^2x}{cos^2x}[/tex]

= tan²x

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