Question

Prove that cosecA√1-cos^A=1​

Answer 1

Answer:

Step-by-step explanation:

cos²A + sin²A = 1

=> sin²A = 1 - cos²A

=> sin A = √(1 - cos²A)-----------------(1)

L H S

= cosecA√1-cos^A

=cosec A (sin A )            [FROM (1)]

as we know cosec A = 1/sin A

so

[1/sin A] (sin A)

= 1

= R H S

Hence proved

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