C3

Cara Mann, Aug 26, 2015


  • 1. Differentiating sin x and cos x
  • 2. Why radians are the natural choice
  • 3. The gradient of y=a^x
  • 4. Differentiating y=ln(x)
  • 5. The compound angle formulae
  • 6. The double angle formulae
  • 7. The graph of y = a sin x + b cos x
  • 8. Inverse trigonometric functions
  • 9. Six trigonometric functions and their graphs
  • 10. Fixed point iteration
  • 11. Combined transformations
  • 12. Linear modulus graphs
  • 13. The graph of y = |f(x)|
  • 14. The graph of y = f(|x|)
  • 15. Inverse functions

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Differentiating sin x and cos x

Choose y = sin x OR y = cos x.[br]Move point A along the curve y = sin x (OR D along y= cos x). The gradient of the curve at A (OR D) is calculated. The point with x-coordinate equal to that of A (OR D) and y-coordinate equal to the gradient is plotted. This shows the gradient of y = sin x (OR y = cos x) as x varies.[br]To get rid of the plots of the gradient from last time click on the reset icon in the top right hand corner.
– Integral Resources

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