Question

If cot theta =3/4 and theta+a = 90 degrees, then find what is the value of cot a

Answer 1

theata+a=90

theata = 90-a

so

cot (90-a)=3/4

tan a=3/4 (as cot (90-theata)=tan theata

so cot a=1/(3/4)

cot a=4/3 [as cot a=1/tan a]