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prove that 1+cot²A=cosec²A​

Sagot :

Answer:

see explanation

Step-by-step explanation:

Consider the left side

1 + cot²A

= 1 + [tex]\frac{cos^2A}{sin^2A}[/tex]

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

= [tex]\frac{1}{sin^2A}[/tex]

= cosec²A

= right side, thus proven

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