Question

let x be an arbitrary acute angle. prove that sin x + cos x >= 1

Answer 1

an acute angle is between 0 and 90

Answer 2

the sin and cosine are complementary angles as well

Answer 3

sin(0) + cos(0) = 1 ; cos decreases as we go to 90; and sin increases till we go to 90; which means we never go below 1 when we sum them up