Question

3. Write the maximum and minimum values of 3 4. Write the maximum value of 12 sin x -- 9 sin- x. then​

Answer 1

Answer:

Solution

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Given equation is,

X=12sinθ−9sin

2

θ

Add and subtract 4 in the equation to convert in perfect square,

=4−4+12sinx−9sin

2

x

=4−(4−12sinx+9sin

2

x)

=4−(2−3sinx)

2

Because it takes max. value ,so (2−3sinx)

2

 gives the minimum value,

⇒(2−3sinx)

2

=0

⇒2−3sinx=0

⇒sinx=

3

2

​

So, maximum value is 4.

Hence, 4 is the maximum value.

Step-by-step explanation: