Question

prove that 1-tan²O/1+tan²O=cos²O-sin²O​

Answer 1

Step-by-step explanation:

We know that tan α = sin α/cos α . Putting this value,

cos² α (1 + tan² α) = cos² α (1 + sin² α/cos² α) which on opening the brackets

= cos² α + cos² α. sin² α/cos² α

= cos² α + sin² α (on cancelling the factor cos² α in the second term )

Now cos² α + sin² α is a trigonometric identity whose value is 1 .

Hence cos² α (1 + tan² α) = 1 (Proved)

Answer 2

Answer:

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