Question

If cotΘ+cosΘ=x and cotΘ -cosΘ=y then x²-y²=​

Answer 1

Answer:

x² - y² = 4 (cot∅) ( cos∅ )

Step-by-step explanation:

{I have taken theta as ∅ , for typing purpose}

x²-y² = (x+y) (x-y)

=> { (cot∅ + cos∅) + ( cot∅ - cos∅ ) } × { ( (cot∅ + cos∅) - ( cot∅ - cos∅ ) }

=> (cot∅ + cos∅ + cot∅ - cos∅ ) × (cot∅ + cos∅ - cot∅ + cos∅ )

=> (2cot∅ ) (2cos∅)

=> x²-y² = 4 cot∅cos∅