Question

If cosec theta= root5 then find cot theta-cos theta

Answer 1

Answer:

cosec theta = Hypotenuse/Opposite side

= √5/1

Let: Hypotenuse = √5

Opposite Side = 1

Adjacent Side = √[(√5)² - 1²]

= √[4] = 2

cos theta = Adjacent side/Hypotenuse

cot theta = Adjacent side/Opposite side

cot theta - cos theta

= 2/1 - 2/√5

= (2√5 - 2)/√5

= (10 - 2√5)/5