Question

in a right angle triangle A B C, right angle is at B, if tan a root 3 then find the value of sina×cosc + cos a× sin c

Answer 1

Since A+C =90 sin c= cos a and cos c= sin a hence sin a ×cos c =sin^2 a and cos a ×sin c = cos^2 a hence answer is sin^2 a + cos^2 a= 1