What is the minimum of the sinusoidal function? [enter the answer in the box]

the minimum is 1, and the maximum is 5.

i understand basic  sinxsin⁡x  and  cosxcos⁡x  min/max, but i am having a problem solving the minimum and maximum of the following:

f(x)=sin2x−sinxf(x)=sin2⁡x−sin⁡x

oh, and the range is  0≤x≤3π2

i use my brain for prombles like this maybe you could try it

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204