Question
What is the sum trigonometric ratios sin 33 and sin 57
Answers
Anonymous
hmmmm, I notice that 33 + 57 = 30 + 60 = 90
if you just mean sin 33/ sin 57 that is sin 33 / cos 33 = tan 33
but if you mean it the way you said it
so we have sin 33 + sin(90-33)
= sin 33 + cos 33
in a right triangle that would be a/sqrt(a^2+b^2) + b /sqrt(a*2+b^2)
= (a+b)/ sqrt(a^2+b^2)
if you just mean sin 33/ sin 57 that is sin 33 / cos 33 = tan 33
but if you mean it the way you said it
so we have sin 33 + sin(90-33)
= sin 33 + cos 33
in a right triangle that would be a/sqrt(a^2+b^2) + b /sqrt(a*2+b^2)
= (a+b)/ sqrt(a^2+b^2)