Question

what is the maximum value of 4+5 sin(3x-2) maximum value of 3sinx-4sin^3 x

Answer 1

Step-by-step explanation:

We know -1 ≤ sinx ≤ 1 x ∈ R

Similarly -1 ≤ sin(3x-2) ≤ 1 3x-2 ∈ R

-5 ≤ 5sin(3x-2) ≤ 5 3x-2 ∈ R

4 - 5 ≤ 4 + 5sin(3x-2) ≤ 4 + 5 3x-2 ∈ R

- 1 ≤ Qu ≤ 9

So maximum value of question is 9.

Hope this helps.

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Answer 2

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We know -1 ≤ sinx ≤ 1 x ∈ R

Similarly -1 ≤ sin(3x-2) ≤ 1 3x-2 ∈ R

-5 ≤ 5sin(3x-2) ≤ 5 3x-2 ∈ R

4 - 5 ≤ 4 + 5sin(3x-2) ≤ 4 + 5 3x-2 ∈ R

- 1 ≤ Qu ≤ 9