f(x) = cos x+ sin x
Answers
Answered by
1
Answer:
Solution: (4)
f (x) = cos x – sin x
= √2 [cosx (1 / √2) – sinx (1 / √2)]
= √2 [cosx * cos (π / 4) – sinx * sin (√ / 4)]
= √2 [cos (x + [π / 4])]
-1 ≤ [cos (x + [π / 4])] ≤ 1
-√2 ≤ √2 [cos (x + [π / 4])] ≤ √2
-√2 ≤ f (x) ≤ √2
Range = [-√2, √2]
Step-by-step explanation:
Similar questions