Question

if sin theta =x sec theta=y then find the value of cot theta

Answer 1

sin theta = x
sec theta= y
cos theta= 1/sec theta
=1/y
Therefore, cot theta = cos theta/sin theta
= x/(1/y)
=x*y
=xy

Answer 2

    solution

sin∅=x       sec∅=y    ⇒cos∅=1/y

 to find cot∅

⇒  there for   tan∅=sin∅/cos∅

⇒tan∅=x/1/y

⇒tan∅=xy

there for to fin cot∅ we know that cot∅=1/tan∅

• ⇒ cot∅=1/tan∅
• ⇒cot∅=1/xy