Question

cos theta + sin theta grater than 1​

Answer 1

Answer:

Let θ be an arbitrary acute angle. Prove that sin(θ)+cos(θ)≥1.

(sin(θ)+cos(θ))2=1+2sin(θ)cos(θ)≥0

so,

(sin(θ))+cos(θ))2 >1 (sin(θ)+cos(θ))2 ≥1