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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

12226 Views

3n+2 <= 14 and 6n/(n^2+5) > 1 Find possible values of N

3n+2 is less then or equaled to 14. 6n divided by N squared + 5 is less then 1. First, we are going to deal with the equation on the left. From this equation, takeaway 2 from both sides to get 3n<=12, ...

Answered by MOHAMMAD A. • Maths tutor

3269 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

4788 Views

Solve x^2 - 6x + 8 < 0

To see the answer more clearly, we can sketch the function. First, we start by sketching the parabola (curve). If we have a positive x^2 term then we have a U shaped parabola and if it is negative, i.e. -...

Answered by Rachel W. • Maths tutor

12619 Views

Evaluate 3 /5 + 1/ 4

5×4=20 common denominator what did you do to 5 to get to 20? X4, therefore you have to 3x4=12what did you do to 4 to get to 20? X5, therefore you have to 1x5=5
12/20 + 5/20= 17/20

Answered by Vickie K. • Maths tutor

2686 Views