Math, asked by ampandey2016, 1 year ago

cot x/2-tanx/2=2 cot x​

Answers

Answered by Anonymous
5

Cotx/2 - tanx/2

Take x/2 = a for easy notation

= cosa / sina - sina/cosa

= cos²a - sin²a / sin a cosa

Multiply by 2 .

= 2 ( cos2a) / 2sina cosa

= 2cos2a / sin2a

= 2 cot 2a

= 2 cot 2 ( x/2)

= 2 cot x.

Answered by chinki004
17

Step-by-step explanation:

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HappiestWriter012Maths AryaBhatta

cotx/2 - tanx/2

Take x/2 = a for easy notation

= cosa / sina - sina/cosa

= cos²a - sin²a / sin a cosa

Multiply by 2 .

= 2 ( cos2a) / 2sina cosa

= 2cos2a / sin2a

= 2 cot 2a

= 2 cot 2 ( x/2)

= 2 cot x.

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