Find the greatest and least value of
sin x cos X.
Answers
Answered by
2
Answer:
This is your answer
Step-by-step explanation:
1) 1, -1
2) 1/2, -1/2
3) 1/4, -1/4
4) 2, -2
Answer: (2) 1/2, -1/2
Solution:
Let f(x) = sin x cos x
Multiplying and dividing by 2,
= (1/2) (2 sin x cos x)
= (sin 2x)/2
We know that,
-1 ≤ sin 2x ≤ 1
Dividing by 2,
-1/2 ≤ (sin 2x)/2 ≤ 1/2
Hence, the greatest and least values are 1/2 and -1/2 respectively.
Answered by
1
Answer:
1/2 and -1/2 is the answer of the following question
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