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Maths
A Level

Given that A(sin θ + cos θ) + B(cos θ − sin θ) ≡ 4 sin θ, find the values of the constants A and B.

Since this must be true for all values of θ, and cos and sin are distinct functions, no non-zero multiple of cosθ could ever be equal to 4 sinθ for all values of θ. Therefore, the overall multiple of cosθ...

DB
Answered by David B. Maths tutor
7301 Views

Find the derivative with respect to x, of 5cos(x)+ 4sin(x)

f(x) = 5cos(x) + 4sin(x)to find f,(x) this is just another notation for the derivative.To differentiate trigonometry I always use this one simple trick which I will show on th...

RP
Answered by Ryan P. Maths tutor
3776 Views

Solve the inequality x^2 - 9 > 0

This is a quadratic inequality, because we have an x2 term, so we answer this question by examining the graph of the associated equation y = x2 - 9, and then find out where this grap...

RH
Answered by Rose H. Maths tutor
14672 Views

Find the x coordinate of the stationary points of the curve with equation y = 2x^3 - 0.5x^2 - 2x + 4

Firstly, to find the stationary points of a curve you must differentiate the equation of the curve. To do this each x component is multiplied by its current power and then the power is decreased by one. A...

BS
Answered by Bartosz S. Maths tutor
5088 Views

Use the substitution u = cos 2x to find ∫(cos^2*(2x) *sin3 (2x)) dx

∫(cos2 2x *sin3 2x)dx u = cos2x - u =(du/dx) = -2sin2x - differentiate u dx = du/(-2sin(2x)) - dx = -1/2 ∫cos22x * sin22x du - sub in dx-1/2 ∫u2(1-u<...

WB
Answered by Will B. Maths tutor
7316 Views

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