Question

Show that 1≤ sintheta + theta ≤ √2​

Answer 1

Answer:

√2>=sin theta+coa theta>=1

Step-by-step explanation:

sin theta lies in (-1,1)

cos theta lies in (-1,1)

now assuming u add the both...

say sin0+cos0 you'll have 0+1=1

or. sin30+cos30 you'll have 1/2+√3/2

sin45+cos45=1/√2+1/√2=2/√2=√2

sin60+cos60=1/2+√3/2=1+√3/2

sin90+cos90=1+0=1

so we can say that all the values of sin and cos additons

√2>=cos theta+sin theta>=1 Ans

Hope that was helpful friend