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To what extent does the religion you have studied adequately insist on human beings taking responsibility for the environment?

The chosen religion is Christianity. There are two conflicting Christian approaches to environmental responsibility. Namely, the concepts of stewardship and dominion.
Stewardship is the theological b...

Answered by Harriet W. • Religious Studies tutor

1584 Views

Prove cosec2A-cot2A=tanA

Cosec2A - cot2A= tanA
Left hand side=1/sin2A - cos2A/sin2A
=(1- cos2A)/sin2A
=(1-(1- 2 sin^2⁡ A)/ 2sinAcosA
=(1-1 + ( 2 sin^2⁡ A))/ 2sinAcosA
=sinA/cosA
=tanA
Therefore ...

Answered by Sherin T. • Maths tutor

12533 Views

A curve is defined by parametric equations: x = t^(2) + 2, and y = t(4-t^(2)). Find dy/dx in terms of t, hence, define the gradient of the curve at the point where t = 2.

dy/dx = (dy/dt)/(dx/dt) y = t(4-t²), then using differentiation of y with respect to t, dy/dt = 4 - 3t²x = t² + 2, then...

Answered by Micah W. • Maths tutor

4877 Views

What is the process of mitosis?

A useful mnemonic to remember the stages of mitosis is PMAT. Don’t forget that the cell spends most of its time in interphase, the phase where the DNA is replicated, before moving to mitosis.Prophase- chr...

Answered by Caroline H. • Biology tutor

2347 Views

Express 3sin(2x) + 5cos(2x) in the form Rsin(2x+a), R>0 0<a<pi/2

Start by expanding out Rsin(2x+a) using the addition formula for sin, sin(A+B) = sin(A)cos(B)+cos(A)sin(B). Substituting 2x = A and a= b, we get that Rsin(2x+a) = R(sin(2x)cos(a) + cos(2x)sin(a)) = Rcos(a...

Answered by Michael F. • Maths tutor

9071 Views