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sin(x)² + cos(x)² = 1

Dividing by cos(x)² gives:

tan(x)² + 1 = sec(x)² 

Which rearranges as:

sec(x)² - tan(x)<...

Rearrange to get cos(x+25) = 0.6

Use inverse cosine to get (x+25) = -53.13... 53.13... 306.86... 413.13...

Isolate x to get x = -78.13... 28.13... 281.86... 388.13...

Apply the limits...

fg(x) = 7(4/x-2) -1 = x

28/(x-2) - 1 = x

28/(x-2) = x +1

28 = (x+1)(x-2)

28 = x² - x - 2

0 = x² - x - 30

0 = (x-6)(x+5)   x=6 x=-5

Three forces : (4i + 7j)N , (pi +5j)N , (-8i+qj) N Mass = 5 kg acceleration = (2i - j) A.Collect like terms (4+p-8)i +(7+5+q)j = (-4+p...

Integration can be used to undo differentiation. So if you had an equation that was y=5x+2 and differentiated to get dy/dx=5. When you integrate it you would only get y=5x, so the +2 is lost, to make sure...