Math, asked by nischalyash42, 2 months ago

Find the greatest and least value of
sin x cos X.​

Answers

Answered by vrutti1806
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 khushbu1082003
1

Answer:

1/2 and -1/2 is the answer of the following question

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