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Can you prove to me why cos^2(X) + sin^2(X) = 1?

The answer to this lies in the geometry of a circle. At GCSE you were taught that a circle has a radius (which I will call R ) which is the distance from the centre to a point on the circle. We put the centr...
JM
Answered by Jack M. • Maths tutor
4317 Views

Find the turning point of the line y = x^2 + 2x -1

d(x 2 +2x-1)/dx = 2x+2when dy/dx = 0, x = -1when x = -1, y = -2 therefore the turning point is (-1,-2)
EO
Answered by Ebun O. • Maths tutor
5246 Views

Evaluate the integral (write on whiteboard, too complicated to write here)

Make sure integral is in terms of sines and cosines onlyFactor out sine of numerator and make fraction in terms of cosineSubstitution y=cos(x)Fractions decompositionAnother 2 substitutionsSolve
GL
Answered by Gemma L. • Maths tutor
3892 Views

Simplify: 4log2 (3) + 2log2(5)

4log2 (3) + 2log2(5)= log2 (3)^4 + log2 (5)^2= log2 (3^4x5^2)=log2(81x25)=log2(2025) The solution will be explained with the formula for- loga(x) +loga(y)=loga(xy)
MM
Answered by Mihaela M. • Maths tutor
6784 Views

simplify a^m x a^n

a^m+n
ED
Answered by Ethan D. • Maths tutor
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