Differentiation 11 – Inverse Trig

You’ll learn

• Differentiate sin⁻¹, cos⁻¹ and tan⁻¹ by rewriting (e.g. sin y = …) and going implicit
• Draw a right triangle and use Pythagoras to convert cos y or sin y back into x
• Use the page-13 identity sec²y = 1 + tan²y as the shortcut for tan⁻¹ questions
• Express the final derivative in terms of x only