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Find all possible values of θ for tan θ = 2 sin θ with the range 0◦ ≤ θ ≤ 360◦

First you rearrange the equation.It is known that tanθ=sinθ/cosθ therefore if we replace tanθ with sin/cos we get:sinθ/cosθ=2sinθIf you multiply both sides by cosθ this becomes:sinθ=2sinθcosθThen if you m...

Answered by Kehinde L. • Maths tutor

10605 Views

Find ∫ (2x^5 - 1/(4x^3)-5) dx. giving each term in its simplest form.

with integration you need to increase the power and divide through by the new power for each term in the equation.2x⁵ goes to 2x⁶/6 = x⁶/3-1/(4x³) is equal to -...

Answered by Kieran Y. • Maths tutor

6215 Views

Find both stationary points for y= 4x^(3)-3x^(2)-60x+24. Also find the nature of those points.

y= 4x³- 3x²- 60x+ 24dy/dx = 12x²- 6x- 60 = 2x²- x- 10 = (2x-5)(x+2)
So stationary points are at x= 5/2 and x= -2
d²x/dy²= 24...

Answered by Will M. • Maths tutor

7007 Views

Work out the value of 2^4

2x2x2x2 = 4x2x2 =8x2=16or(2x2)x(2x2)=(4)x(4)=16

Answered by Kieran Y. • Maths tutor

7368 Views

Factorise x^2 -2x-3

Because of the signs within the equation we know that the factorised solution will be in the form (x+?)(x-?)The two numbers in the brackets have a product of -3 and the sum of -2.In this case, the numbers...

Answered by Joshua A. • Maths tutor

10818 Views