Question

If 3cotA=4,check whether 1-tan square A /1+tan square A=cos square A -sin squareA

Answer 1

Answer:

Step-by-step explanation:

Given,

3 cot A = 4

cot A = 4/3

1 - tan²A/1+tan²A = 1 - sin²A/cos²A /1 + sin²A/cos²A

                           = cos²A - sin²A/ cos²A/cos²A+sin²A/cos²A

                           = cos²A-sin²A/cos²A+sin²A

                           =cos²A- sin²A

hence proved

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