If tanx + cotx = 2, find sinx.cosx.
Show answer & explanation
Correct answer: C
Explanation
Has been given :
tanx + cotx = 2
According to the formula:
tanx = sinx / cosx
cotx = cosx / sinx
tanx + cotx
= sinx/cosx + cosx/sinx
= (sin²x + cos²x) / (sinx cosx)
= 1 / (sinx cosx)
1 / (sinx cosx) = 2
sinx cosx = 1/2